id
stringlengths
9
16
submitter
stringlengths
1
64
authors
stringlengths
3
36.7k
title
stringlengths
1
382
comments
stringlengths
1
1.15k
journal-ref
stringlengths
1
557
doi
stringlengths
7
153
report-no
stringlengths
1
479
categories
stringlengths
5
125
license
stringclasses
9 values
abstract
stringlengths
6
6.09k
versions
list
update_date
timestamp[s]
authors_parsed
sequence
0705.0698
David M. Bradley
Xia Zhou, Tianxin Cai (Zhejiang University), David M. Bradley
Signed q-Analogs of Tornheim's Double Series
12 pages, AMSLaTeX. The multinomial notation introduced on page 3 just before Theorem 1 is insufficiently general in version 1, since it may happen that the upper number is negative. This is corrected in version 2, which allows for a negative or even complex upper argument
Proceedings of the American Mathematical Society, Vol 136, No. 8, August 2008, pp. 2689--2698
10.1090/S0002-9939-08-09208-3
null
math.NT math.CA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce signed q-analogs of Tornheim's double series, and evaluate them in terms of double q-Euler sums. As a consequence, we provide explicit evaluations of signed and unsigned Tornheim double series, and correct some mistakes in the literature.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:05:27 GMT" }, { "version": "v2", "created": "Fri, 18 Jul 2008 05:09:09 GMT" } ]
2008-07-18T00:00:00
[ [ "Zhou", "Xia", "", "Zhejiang University" ], [ "Cai", "Tianxin", "", "Zhejiang University" ], [ "Bradley", "David M.", "" ] ]
0705.0699
Lynn D. Matthews
L. D. Matthews, C. Goddi, L. J. Greenhill, C. J. Chandler, M. J. Reid, and E. M. L. Humphreys
A Documentary of High-Mass Star Formation: Probing the Dynamical Evolution of Orion Source I on 10-100 AU Scales using SiO Masers
5 pages; to appear in the proceedings of IAU Symposium 242, Astrophysical Masers and their Environments, ed. J. Chapman & W. Baan
null
10.1017/S1743921307012689
null
astro-ph
null
A comprehensive picture of high-mass star formation has remained elusive, in part because examples of high-mass YSOs tend to be relatively distant, deeply embedded, and confused with other emission sources. These factors have impeded dynamical investigations within tens of AU of high-mass YSOs--scales that are critical for probing the interfaces where outflows from accretion disks are launched and collimated. Using observations of SiO masers obtained with the VLA and the VLBA, the KaLYPSO project is overcoming these limitations by mapping the structure and dynamical/temporal evolution of the material 10-1000 AU from the nearest high-mass YSO: Radio Source I in the Orion BN/KL region. Our data include ~40 epochs of VLBA observations over a several-year period, allowing us to track the proper motions of individual SiO maser spots and to monitor changes in the physical conditions of the emitting material with time. Ultimately these data will provide 3-D maps of the outflow structure over approximately 30% of the outflow crossing time. Here we summarize recent results from the KaLYPSO project, including evidence that high-mass star formation is occurring via disk-mediated accretion.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:05:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Matthews", "L. D.", "" ], [ "Goddi", "C.", "" ], [ "Greenhill", "L. J.", "" ], [ "Chandler", "C. J.", "" ], [ "Reid", "M. J.", "" ], [ "Humphreys", "E. M. L.", "" ] ]
0705.0700
Raydonal Ospina
Raydonal Ospina and Silvia L. P. Ferrari
Inflated Beta Distributions
15 pages, 4 figures. Submitted to Statistical Papers
null
10.1007/s00362-008-0125-4
null
stat.ME
null
This paper considers the issue of modeling fractional data observed in the interval [0,1), (0,1] or [0,1]. Mixed continuous-discrete distributions are proposed. The beta distribution is used to describe the continuous component of the model since its density can have quite diferent shapes depending on the values of the two parameters that index the distribution. Properties of the proposed distributions are examined. Also, maximum likelihood and method of moments estimation is discussed. Finally, practical applications that employ real data are presented.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:20:40 GMT" }, { "version": "v2", "created": "Mon, 8 Oct 2007 19:42:20 GMT" }, { "version": "v3", "created": "Sun, 11 Nov 2007 21:28:29 GMT" } ]
2008-03-19T00:00:00
[ [ "Ospina", "Raydonal", "" ], [ "Ferrari", "Silvia L. P.", "" ] ]
0705.0701
Chick Woodward
G.J. Schwarz, C.E. Woodward, M.F. Bode, A. Evans, S.P. Eyres, T.R. Geballe, R.D. Gehrz, M.A. Greenhouse, P.H. Hauschildt, L.A. Helton, D.K. Lynch, J.E. Lyke, T.J. O'Brien, R.W. Russell, R.J. Rudy, S.N. Shore, S.G. Starrfield, T. Temim, J.W. Truran, C.C. Venturini, R.E. Williams, and R. Zamanov
The Early Spectrophotometric Evolution of V1186 Scorpii (Nova Scorpii 2004 #1)
7 figures, 37 pages. Astronimocal Journal accepted
Astron.J.134:516-526,2007
10.1086/519240
null
astro-ph
null
We report optical photometry and optical through mid-infrared spectroscopy of the classical nova V1186 Sco. This slowly developing nova had an complex light curve with multiple secondary peaks similar to those seen in PW Vul. The time to decline 2 magnitudes, t$_2$, was 20 days but the erratic nature of the light curve makes determination of intrinsic properties based on the decline time (e.g., luminosity) problematic, and the often cited MMRD relationship of Della Valle and Livio (1995) fails to yield a plausible distance. Spectra covering 0.35 to 35 $\mu$m were obtained in two separate epochs during the first year of outburst. The first set of spectra, taken about 2 months after visible maximum, are typical of a CO-type nova with narrow line emission from \ion{H}{1}, \ion{Fe}{2}, \ion{O}{1} and \ion{He}{1}. Later data, obtained between 260 and 380 days after maximum, reveal an emerging nebular spectrum. \textit{Spitzer} spectra show weakening hydrogen recombination emission with the emergence of [\ion{Ne}{2}] (12.81 $\mu$m) as the strongest line. Strong emission from [\ion{Ne}{3}] (15.56 $\mu$m) is also detected. Photoionization models with low effective temperature sources and only marginal neon enhancement (Ne $\sim$ 1.3 Ne$_{\odot}$) are consistent with these IR fine-structure neon lines indicating that V1186 Sco did not occur on a ONeMg white dwarf. In contrast, the slow and erratic light curve evolution, spectral development, and photoionization analysis of the ejecta imply the outburst occurred on a low mass CO white dwarf. We note that this is the first time strong [\ion{Ne}{2}] lines have been detected so early in the outburst of a CO nova and suggests that the presence of mid-infrared neon lines is not directly indicative of a ONeMg nova event.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:23:05 GMT" } ]
2009-06-23T00:00:00
[ [ "Schwarz", "G. J.", "" ], [ "Woodward", "C. E.", "" ], [ "Bode", "M. F.", "" ], [ "Evans", "A.", "" ], [ "Eyres", "S. P.", "" ], [ "Geballe", "T. R.", "" ], [ "Gehrz", "R. D.", "" ], [ "Greenhouse", "M. A.", "" ], [ "Hauschildt", "P. H.", "" ], [ "Helton", "L. A.", "" ], [ "Lynch", "D. K.", "" ], [ "Lyke", "J. E.", "" ], [ "O'Brien", "T. J.", "" ], [ "Russell", "R. W.", "" ], [ "Rudy", "R. J.", "" ], [ "Shore", "S. N.", "" ], [ "Starrfield", "S. G.", "" ], [ "Temim", "T.", "" ], [ "Truran", "J. W.", "" ], [ "Venturini", "C. C.", "" ], [ "Williams", "R. E.", "" ], [ "Zamanov", "R.", "" ] ]
0705.0702
Masahiro Tsujimoto
M. Tsujimoto, E. D. Feigelson, L. K. Townsley, P. S. Broos, K. V. Getman, J. Wang, G. P. Garmire, D. Baba, T. Nagayama, M. Tamura, and E. B. Churchwell
An X-ray Imaging Study of the Stellar Population in RCW49
19 pages, 17 figures, 4 tables. ApJ in press
Astrophys.J.665:719-735,2007
10.1086/519681
null
astro-ph
null
We present the results of a high-resolution X-ray imaging study of the stellar population in the Galactic massive star-forming region RCW49 and its central OB association Westerlund 2. We obtained a 40 ks X-ray image of a 17'x17' field using the Chandra X-ray Observatory and deep NIR images using the Infrared Survey Facility in a concentric 8'3x8'3 region. We detected 468 X-ray sources and identified optical, NIR, and Spitzer Space Telescope MIR counterparts for 379 of them. The unprecedented spatial resolution and sensitivity of the X-ray image, enhanced by optical and infrared imaging data, yielded the following results: (1) The central OB association Westerlund 2 is resolved for the first time in the X-ray band. X-ray emission is detected from all spectroscopically-identified early-type stars in this region. (2) Most (86%) X-ray sources with optical or infrared identifications are cluster members in comparison with a control field in the Galactic Plane. (3) A loose constraint (2--5 kpc) for the distance to RCW49 is derived from the mean X-ray luminosity of T Tauri stars. (4) The cluster X-ray population consists of low-mass pre--main-sequence and early-type stars as obtained from X-ray and NIR photometry. About 30 new OB star candidates are identified. (5) We estimate a cluster radius of 6'--7' based on the X-ray surface number density profiles. (6) A large fraction (90%) of cluster members are identified individually using complimentary X-ray and MIR excess emission. (7) The brightest five X-ray sources, two Wolf-Rayet stars and three O stars, have hard thermal spectra.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:32:15 GMT" } ]
2019-08-19T00:00:00
[ [ "Tsujimoto", "M.", "" ], [ "Feigelson", "E. D.", "" ], [ "Townsley", "L. K.", "" ], [ "Broos", "P. S.", "" ], [ "Getman", "K. V.", "" ], [ "Wang", "J.", "" ], [ "Garmire", "G. P.", "" ], [ "Baba", "D.", "" ], [ "Nagayama", "T.", "" ], [ "Tamura", "M.", "" ], [ "Churchwell", "E. B.", "" ] ]
0705.0703
Daniel Boyanovsky
D. Boyanovsky, C.M.Ho
Production of a sterile species: quantum kinetics
To appear in Phys. Rev. D
Phys.Rev.D76:085011,2007
10.1103/PhysRevD.76.085011
null
hep-ph
null
Production of a sterile species is studied within an effective model of active-sterile neutrino mixing in a medium in thermal equilibrium. The quantum kinetic equations for the distribution functions and coherences are obtained from two independent methods: the effective action and the quantum master equation. The decoherence time scale for active-sterile oscillations is $\tau_{dec} = 2/\Gamma_{aa}$, but the evolution of the distribution functions is determined by the two different time scales associated with the damping rates of the quasiparticle modes in the medium: $\Gamma_1=\Gamma_{aa}\cos^2\tm ; \Gamma_2=\Gamma_{aa}\sin^2\tm$ where $\Gamma_{aa}$ is the interaction rate of the active species in absence of mixing and $\tm$ the mixing angle in the medium. These two time scales are widely different away from MSW resonances and preclude the kinetic description of active-sterile production in terms of a simple rate equation. We give the complete set of quantum kinetic equations for the active and sterile populations and coherences and discuss in detail the various approximations. A generalization of the active-sterile transition probability \emph{in a medium} is provided via the quantum master equation. We derive explicitly the usual quantum kinetic equations in terms of the ``polarization vector'' and show their equivalence to those obtained from the quantum master equation and effective action.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:31:40 GMT" }, { "version": "v2", "created": "Fri, 5 Oct 2007 18:55:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Boyanovsky", "D.", "" ], [ "Ho", "C. M.", "" ] ]
0705.0704
Kevin Flood
The BABAR Collaboration, B. Aubert, et al
Search for $D^0-{\bar D}^0$ Mixing Using Doubly Flavor Tagged Semileptonic Decay Modes
13 pages, 7 figures, submitted to Phys.Rev.D
Phys.Rev.D76:014018,2007
10.1103/PhysRevD.76.014018
SLAC-PUB-12494
hep-ex
null
We have searched for $D^0 - \bar{D}^0$ mixing in $D^{*+} \to \pi^+ D^0$ decays with $D^0 \to K^{(*)} e \nu$ in a sample of $e^+ e^- \to {c\bar c}$ events produced near 10.58 GeV. The charge of the slow pion from charged $D^*$ decay tags the charm flavor at production, and it is required to be consistent with the flavor of a fully reconstructed second charm decay in the same event. We observe 3 mixed candidates compared to 2.85 background events expected from simulation. We ascribe a 50% systematic uncertainty to this expected background rate. We find a central value for the mixing rate of $0.4 \times 10^{-4}$. Using a frequentist method, we set corresponding 68% and 90% confidence intervals at $(-5.6, 7.4) \times 10^{-4}$ and $(-13, 12) \times 10^{-4}$, respectively.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:39:15 GMT" }, { "version": "v2", "created": "Wed, 9 May 2007 19:37:37 GMT" } ]
2010-04-12T00:00:00
[ [ "The BABAR Collaboration", "", "" ], [ "Aubert", "B.", "" ] ]
0705.0705
Vincent Rivasseau
Vincent Rivasseau
Non-commutative Renormalization
82 pages, Poincare Seminar, updated and expanded version of arXiv:hep-th/0702068
null
10.1007/978-3-7643-7434-1_19
null
hep-th
null
A new version of scale analysis and renormalization theory has been found on the non-commutative Moyal space. It could be useful for physics beyond the standard model or for standard physics in strong external field. The good news is that quantum field theory is better behaved on non-commutative than on ordinary space: indeed it has no Landau ghost. Noncommutativity might therefore be an alternative to supersymmetry. We review this rapidly growing subject.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:41:02 GMT" } ]
2015-05-13T00:00:00
[ [ "Rivasseau", "Vincent", "" ] ]
0705.0706
Vladimir Sudilovsky Mr.
Vladimir Sudilovsky (1,2), Sandra Savaglio (2), Paul Vreeswijk (3), Cedric Ledoux (3), Alain Smette (3), Jochen Greiner (2) ((1) Guilford College, North Carolina, (2) MPE, (3) ESO)
Intervening Metal Systems in GRB and QSO sight-lines: The Mgii and Civ Question
21 pages, 4 figures, ApJ accepted, Revised after Referee Report
null
10.1086/521525
null
astro-ph
null
Prochter et al. 2006 recently found that the number density of strong intervening 0.5<z<2 MgII absorbers detected in gamma-ray burst (GRB) afterglow spectra is nearly 4 times larger than in QSO spectra. We have conducted a similar study using CIV absorbers. Our CIV sample, consisting of a total of 20 systems, is drawn from 3 high resolution and high to moderate S/N VLT/UVES spectra of 3 long-duration GRB afterglows, covering the redshift interval 1.6< z<3.1. The column density distribution and number density of this sample do not show any statistical difference with the same quantities measured in QSO spectra. We discuss several possibilities for the discrepancy between CIV and MgII absorbers and conclude that a higher dust extinction in the MgII QSO samples studied up to now would give the most straightforward solution. However, this effect is only important for the strong MgII absorbers. Regardless of the reasons for this discrepancy, this result confirms once more that GRBs can be used to detect a side of the universe that was unknown before, not necessarily connected with GRBs themselves, providing an alternative and fundamental investigative tool of the cosmic evolution of the universe.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:41:37 GMT" }, { "version": "v2", "created": "Thu, 5 Jul 2007 09:21:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Sudilovsky", "Vladimir", "" ], [ "Savaglio", "Sandra", "" ], [ "Vreeswijk", "Paul", "" ], [ "Ledoux", "Cedric", "" ], [ "Smette", "Alain", "" ], [ "Greiner", "Jochen", "" ] ]
0705.0707
Brenda L. Dingus
A. A. Abdo, B. Allen, D. Berley, S. Casanova, C. Chen, D. G. Coyne, B. L. Dingus, R. W. Ellsworth, L. Fleysher, R. Fleysher, M. M. Gonzalez, J. A. Goodman, E. Hays, C. M. Hoffman, B. Hopper, P. H. Huntemeyer, B. E. Kolterman, C. P. Lansdell, J. T. Linnemann, J. E. McEnery, A. I. Mincer, P. Nemethy, D. Noyes, J. M. Ryan, P. M. Saz Parkinson, A. Shoup, G. Sinnis, A. J. Smith, G. W. Sullivan, V. Vasileiou, G. P. Walker, D. A. Williams, X. W. Xu, and G. B. Yodh
TeV Gamma-Ray Sources from a Survey of the Galactic Plane with Milagro
Submitted to ApJ
Astrophys.J.664:L91-L94,2007
10.1086/520717
null
astro-ph
null
A survey of Galactic gamma-ray sources at a median energy of ~20 TeV has been performed using the Milagro Gamma Ray Observatory. Eight candidate sources of TeV emission are detected with pre-trials significance $>4.5\sigma$ in the region of Galactic longitude $l\in[30^\circ,220^\circ]$ and latitude $b\in[-10^\circ,10^\circ]$. Four of these sources, including the Crab nebula and the recently published MGRO J2019+37, are observed with significances $>4\sigma$ after accounting for the trials involved in searching the 3800 square degree region. All four of these sources are also coincident with EGRET sources. Two of the lower significance sources are coincident with EGRET sources and one of these sources is Geminga. The other two candidates are in the Cygnus region of the Galaxy. Several of the sources appear to be spatially extended. The fluxes of the sources at 20 TeV range from ~25% of the Crab flux to nearly as bright as the Crab.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:42:24 GMT" } ]
2009-06-23T00:00:00
[ [ "Abdo", "A. A.", "" ], [ "Allen", "B.", "" ], [ "Berley", "D.", "" ], [ "Casanova", "S.", "" ], [ "Chen", "C.", "" ], [ "Coyne", "D. G.", "" ], [ "Dingus", "B. L.", "" ], [ "Ellsworth", "R. W.", "" ], [ "Fleysher", "L.", "" ], [ "Fleysher", "R.", "" ], [ "Gonzalez", "M. M.", "" ], [ "Goodman", "J. A.", "" ], [ "Hays", "E.", "" ], [ "Hoffman", "C. M.", "" ], [ "Hopper", "B.", "" ], [ "Huntemeyer", "P. H.", "" ], [ "Kolterman", "B. E.", "" ], [ "Lansdell", "C. P.", "" ], [ "Linnemann", "J. T.", "" ], [ "McEnery", "J. E.", "" ], [ "Mincer", "A. I.", "" ], [ "Nemethy", "P.", "" ], [ "Noyes", "D.", "" ], [ "Ryan", "J. M.", "" ], [ "Parkinson", "P. M. Saz", "" ], [ "Shoup", "A.", "" ], [ "Sinnis", "G.", "" ], [ "Smith", "A. J.", "" ], [ "Sullivan", "G. W.", "" ], [ "Vasileiou", "V.", "" ], [ "Walker", "G. P.", "" ], [ "Williams", "D. A.", "" ], [ "Xu", "X. W.", "" ], [ "Yodh", "G. B.", "" ] ]
0705.0708
Martin Legare
M. Legare
On Certain Quantization Aspects of (Generalized) Toda Systems
17 pages
null
null
null
math-ph math.MP
null
Ordinary and gl(n,R) generalized Toda systems as well as a related hierarchy are probed with respect to certain quantization characteristics. "Quantum" canonical and Poisson transformations are used to study quantizations of transformed Toda systems. With a Lax pair setting, a hierarchy of related systems are shown and their quantizations discussed. Finally, comments are added about quantum aspects of gl(n,R) generalized Toda systems with the approaches of deformation quantization or quantum groups in mind.
[ { "version": "v1", "created": "Fri, 4 May 2007 20:52:34 GMT" } ]
2007-05-23T00:00:00
[ [ "Legare", "M.", "" ] ]
0705.0709
Imran Ahmed
Imran Ahmed
Polar Cremona Transformations and Monodromy of Polynomials
8 pages
Studia Scientiarum Mathematicarum Hungarica 47(1), 81-89 (2010)
10.1556/SScMath.2009.1114
null
math.AG
null
Consider the gradient map associated to any non-constant homogeneous polynomial $f\in \C[x_0,...,x_n]$ of degree $d$, defined by \[\phi_f=grad(f): D(f)\to \CP^n, (x_0:...:x_n)\to (f_0(x):...:f_n(x))\] where $D(f)=\{x\in \CP^n; f(x)\neq 0\}$ is the principal open set associated to $f$ and $f_i=\frac{\partial f}{\partial x_i}$. This map corresponds to polar Cremona transformations. In Proposition \ref{p1} we give a new lower bound for the degree $d(f)$ of $\phi_f$ under the assumption that the projective hypersurface $V:f=0 $ has only isolated singularities. When $d(f)=1$, Theorem \ref{t4} yields very strong conditions on the singularities of $V$.
[ { "version": "v1", "created": "Sat, 5 May 2007 12:00:59 GMT" } ]
2010-03-10T00:00:00
[ [ "Ahmed", "Imran", "" ] ]
0705.0710
Claude LeBrun
Xiuxiong Chen, Claude LeBrun, and Brian Weber
On Conformally Kaehler, Einstein Manifolds
45 pages, 9 figures. Simplified proof of Lemma 25. Several minor corrections to section 5
null
null
null
math.DG gr-qc math.AG math.AP
null
We prove that any compact complex surface with positive first Chern class admits an Einstein metric which is conformally related to a Kaehler metric. The key new ingredient is the existence of such a metric on the blow-up of the complex projective plane at two distinct points.
[ { "version": "v1", "created": "Mon, 7 May 2007 14:29:01 GMT" }, { "version": "v2", "created": "Wed, 30 May 2007 19:47:07 GMT" } ]
2007-06-13T00:00:00
[ [ "Chen", "Xiuxiong", "" ], [ "LeBrun", "Claude", "" ], [ "Weber", "Brian", "" ] ]
0705.0711
Jane Arthur
S. J. Arthur
Off-center HII regions in power-law density distributions
9 pages, 10 figures, emulate ApJ style, submitted to The Astrophysical Journal
null
10.1086/521428
null
astro-ph
null
The expansion of ionization fronts in uniform and spherically symmetric power-law density distributions is a well-studied topic. However, in many situations, such as a star formed at the edge of a molecular cloud core, an offset power-law density distribution would be more appropriate. In this paper a few of the main issues of the formation and expansion of HII regions in such media are outlined and results are presented for the particular cases where the underlying power laws are 1/r^2 and 1/r^3. A simple criterion is developed for determining whether the initial photoionized region will be unbounded, which depends on the power-law exponent and the ratio of the equivalent Stroemgren radius produced by the star in a uniform medium to the stellar offset distance. In the expansion stage, the ionized volumes will eventually become unbounded unless pressure balance with the external medium is reached before the ionization front velocity becomes supersonic with respect to the ionized gas.
[ { "version": "v1", "created": "Sat, 5 May 2007 02:45:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Arthur", "S. J.", "" ] ]
0705.0712
William Gordon Ritter
Arthur Jaffe (1) and Gordon Ritter (1) ((1) Harvard University)
Reflection Positivity and Monotonicity
11 pages
J.Math.Phys.49:052301,2008
10.1063/1.2907660
null
math-ph math.AP math.DG math.FA math.MP
null
We prove general reflection positivity results for both scalar fields and Dirac fields on a Riemannian manifold, and comment on applications to quantum field theory. As another application, we prove the inequality $C_D \leq C_N$ between Dirichlet and Neumann covariance operators on a manifold with a reflection.
[ { "version": "v1", "created": "Fri, 4 May 2007 21:37:36 GMT" }, { "version": "v2", "created": "Wed, 9 May 2007 04:23:08 GMT" } ]
2008-11-26T00:00:00
[ [ "Jaffe", "Arthur", "", "Harvard University" ], [ "Ritter", "Gordon", "", "Harvard University" ] ]
0705.0713
Jack Harris
J. G. E. Harris, S. V. Nguyen, S. C. Doret, W. Ketterle, and J. M. Doyle
Spin-exchange collisions of submerged shell atoms below 1 Kelvin
16 pages, 2 figs
null
10.1103/PhysRevLett.99.223201
null
physics.atom-ph
null
Angular momentum changing collisions can be suppressed in atoms whose valence electrons are submerged beneath filled shells of higher principle quantum number. To determine whether spin-exchange collisions are suppressed in these "submerged shell" atoms, we measured spin-exchange collisions of six hyperfine states of Mn at temperatures below 1 K. Although the 3d valence electrons in Mn are submerged beneath a filled 4s orbital, we find that the spin exchange rate coefficients are similar to those of Na and H (which are non-submerged shell atoms).
[ { "version": "v1", "created": "Fri, 4 May 2007 21:49:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Harris", "J. G. E.", "" ], [ "Nguyen", "S. V.", "" ], [ "Doret", "S. C.", "" ], [ "Ketterle", "W.", "" ], [ "Doyle", "J. M.", "" ] ]
0705.0714
Mu-Chun Chen
Mu-Chun Chen and K.T. Mahanthappa
CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
11 pages; v2: additional references added; minor modifications made; conclusion unchanged; v3: version to appear in Phys. Lett. B
Phys.Lett.B652:34-39,2007
10.1016/j.physletb.2007.06.064
COLO-HEP-527, UCI-TR-2007-21, FERMILAB-PUB-07-108-T
hep-ph
null
We propose a model based on SU(5) x {}^{(d)}T which successfully gives rise to near tri-bimaximal leptonic mixing as well as realistic CKM matrix elements for the quarks. The Georgi-Jarlskog relations for three generations are also obtained. Due to the {}^{(d)}T transformation property of the matter fields, the b-quark mass can be generated only when the {}^{(d)}T symmetry is broken, giving a dynamical origin for the hierarchy between m_{b} and m_{t}. There are only nine operators allowed in the Yukawa sector up to at least mass dimension seven due to an additional Z_{12} x Z'_{12} symmetry, which also forbids, up to some high orders, operators that lead to proton decay. The resulting model has a total of nine parameters in the charged fermion and neutrino sectors, and hence is very predictive. In addition to the prediction for \theta_{13} \simeq \theta_{c}/3 \sqrt{2}, the model gives rise to a sum rule, \tan^{2}\theta_{\odot} \simeq \tan^{2} \theta_{\odot, \mathrm{TBM}} - {1/2} \theta_{c} \cos\beta, which is a consequence of the Georgi-Jarlskog relations in the quark sector. This deviation could account for the difference between the experimental best fit value for the solar mixing angle and the value predicted by the tri-bimaximal mixing matrix.
[ { "version": "v1", "created": "Mon, 7 May 2007 17:24:19 GMT" }, { "version": "v2", "created": "Tue, 15 May 2007 20:22:23 GMT" }, { "version": "v3", "created": "Thu, 28 Jun 2007 19:13:14 GMT" } ]
2010-04-06T00:00:00
[ [ "Chen", "Mu-Chun", "" ], [ "Mahanthappa", "K. T.", "" ] ]
0705.0715
Van Vu H.
Van Vu
Sum-product estimates via directed expanders
null
null
null
null
math.CO math.NT
null
Let $\F_q$ be a finite field of order $q$ and $P$ be a polynomial in $\F_q[x_1, x_2]$. For a set $A \subset \F_q$, define $P(A):=\{P(x_1, x_2) | x_i \in A \}$. Using certain constructions of expanders, we characterize all polynomials $P$ for which the following holds \vskip2mm \centerline{\it If $|A+A|$ is small, then $|P(A)|$ is large.} \vskip2mm The case $P=x_1x_2$ corresponds to the well-known sum-product problem.
[ { "version": "v1", "created": "Fri, 4 May 2007 22:49:01 GMT" } ]
2007-05-23T00:00:00
[ [ "Vu", "Van", "" ] ]
0705.0716
Chris L. Fryer
Chris L. Fryer (LANL/UA), Aimee L. Hungerford (LANL) and Patrick A. Young (LANL/UA)
Light Curve Calculations of Supernovae from Fallback Gamma-Ray Bursts
11 pages (including 3 figures), submitted to ApJ, comments welcome
null
10.1086/519523
LA-UR-07-1376
astro-ph
null
The currently-favored model for long-duration gamma-ray bursts (GRBs) invokes explosions from the collapse of a massive star down to a black hole: either directly or through fallback. Those GRBs forming via fallback will produce much less radioactive nickel, and hence it has been argued (without any real calculation) that these systems produce dim supernovae. These fallback black-hole GRBs have been recently been argued as possible progenitors of a newly discovered set of GRBs lacking any associated supernovae. Here we present the first ever radiation-hydrodynamics calculations of the light-curves produced in the hypernova explosion by a delayed-fallback gamma-ray burst. We find that the bolometric light-curve is dominated by shock-deposited energy, not the decay of radioactive elements. As such, observations of such bursts actually probe the density in the progenitor wind more than it does the production of radioactive nickel.
[ { "version": "v1", "created": "Fri, 4 May 2007 22:55:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Fryer", "Chris L.", "", "LANL/UA" ], [ "Hungerford", "Aimee L.", "", "LANL" ], [ "Young", "Patrick A.", "", "LANL/UA" ] ]
0705.0717
Prakash Belkale
Prakash Belkale
Strange duality and the Hitchin/WZW connection
The only change made is a clarification of the recent history of the strange duality conjecture
null
null
null
math.AG math.RT
null
For a compact Riemann surface X of positive genus, the space of sections of certain theta bundle on moduli of bundles of rank r and level k admits a natural map to (the dual of) a similar space of sections of rank k and level r (the strange duality isomorphism). Both sides of the isomorphism carry projective connections as X varies in a family. We prove that this map is (projectively) flat.
[ { "version": "v1", "created": "Fri, 4 May 2007 23:20:42 GMT" }, { "version": "v2", "created": "Tue, 8 May 2007 23:16:31 GMT" }, { "version": "v3", "created": "Thu, 24 May 2007 18:14:13 GMT" }, { "version": "v4", "created": "Thu, 18 Oct 2007 18:49:46 GMT" }, { "version": "v5", "created": "Fri, 15 Feb 2008 22:15:29 GMT" } ]
2008-02-16T00:00:00
[ [ "Belkale", "Prakash", "" ] ]
0705.0718
Yuri Popov
Yuri O. Popov, Jonghoon Lee, Glenn H. Fredrickson (University of California, Santa Barbara)
Field-Theoretic Simulations of Polyelectrolyte Complexation
7 pages, 3 figures, 3 equations, LaTeX; accepted to Journal of Polymer Science B: Polymer Physics; v2: a revised and expanded version, 6 paragraphs of text and about 20 references added
Journal of Polymer Science B: Polymer Physics, 45, 3223-3230 (2007)
10.1002/polb.21334
null
cond-mat.soft cond-mat.mtrl-sci
null
We briefly discuss our recent field-theoretic study of polyelectrolyte complexation, which occurs in solutions of two oppositely charged polyelectrolytes. Charged systems require theoretical methods beyond the mean-field (or self-consistent field) approximation; indeed, mean-field theory is qualitatively incorrect for such polyelectrolyte solutions. Both analytical (one-loop) and numerical (complex Langevin) methods to account for charge correlations are discussed. In particular, the first application of field-theoretic simulations to polyelectrolyte systems is reported. The polyelectrolyte charge-charge correlation length and a phase diagram are provided; effects of charge redistribution are qualitatively explored.
[ { "version": "v1", "created": "Fri, 4 May 2007 23:27:22 GMT" }, { "version": "v2", "created": "Mon, 16 Jul 2007 06:41:10 GMT" } ]
2015-05-13T00:00:00
[ [ "Popov", "Yuri O.", "", "University of\n California, Santa Barbara" ], [ "Lee", "Jonghoon", "", "University of\n California, Santa Barbara" ], [ "Fredrickson", "Glenn H.", "", "University of\n California, Santa Barbara" ] ]
0705.0719
Edward Flach
E. H. Flach and S. Schnell and J. Norbury
Limit cycles in the presence of convection, a travelling wave analysis
20 pages, 5 figures
null
10.1103/PhysRevE.76.036216
null
math.AP
null
We consider a diffusion model with limit cycle reaction functions, in the presence of convection. We select a set of functions derived from a realistic reaction model: the Schnakenberg equations. This resultant form is unsymmetrical. We find a transformation which maps the irregular equations into model form. Next we transform the dependent variables into polar form. From here, a travelling wave analysis is performed on the radial variable. Results are complex, but we make some simple estimates. We carry out numerical experiments to test our analysis. An initial `knock' starts the propagation of pattern. The speed of the travelling wave is not quite as expected. We investigate further. The system demonstrates distinctly different behaviour to the left and the right. We explain how this phenomenon occurs by examining the underlying behaviour.
[ { "version": "v1", "created": "Fri, 4 May 2007 23:47:27 GMT" }, { "version": "v2", "created": "Mon, 4 Jun 2007 04:43:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Flach", "E. H.", "" ], [ "Schnell", "S.", "" ], [ "Norbury", "J.", "" ] ]
0705.0720
Paul Halpern
Paul Halpern
Energy Distribution of a Charged Black Hole with a Minimally Coupled Scalar Field
11 pages; To appear in Astrophysics and Space Science
Astrophys.SpaceSci.313:357-361,2008
10.1007/s10509-007-9704-4
null
gr-qc astro-ph
null
Using three different energy-momentum complexes, the Einstein, Landau-Lifshitz, and Papapetrou prescriptions, we calculate the energy of an electrically charged black hole exact solution with a self-interacting, minimally-coupled scalar field and the asymptotic region locally an Anti-deSitter spacetime. Writing the metric in Kerr-Schild Cartesian coordinates, we demonstrate that this metric belongs to the Kerr-Schild class of solutions. Applying each of the three energy-momentum prescriptions and comparing the results, we find consistency among these complexes, suggesting their utility as localized measures of energy.
[ { "version": "v1", "created": "Sat, 5 May 2007 01:25:14 GMT" }, { "version": "v2", "created": "Wed, 30 May 2007 15:28:27 GMT" }, { "version": "v3", "created": "Thu, 1 Nov 2007 02:08:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Halpern", "Paul", "" ] ]
0705.0721
Julien Toulouse
Julien Toulouse, Roland Assaraf and C. J. Umrigar
Zero-variance zero-bias quantum Monte Carlo estimators of the spherically and system-averaged pair density
13 pages, 9 figures, published version
Journal of Chemical Physics 126, 244112 (2007)
10.1063/1.2746029
null
physics.chem-ph cond-mat.mtrl-sci cond-mat.other physics.comp-ph
null
We construct improved quantum Monte Carlo estimators for the spherically- and system-averaged electron pair density (i.e. the probability density of finding two electrons separated by a relative distance u), also known as the spherically-averaged electron position intracule density I(u), using the general zero-variance zero-bias principle for observables, introduced by Assaraf and Caffarel. The calculation of I(u) is made vastly more efficient by replacing the average of the local delta-function operator by the average of a smooth non-local operator that has several orders of magnitude smaller variance. These new estimators also reduce the systematic error (or bias) of the intracule density due to the approximate trial wave function. Used in combination with the optimization of an increasing number of parameters in trial Jastrow-Slater wave functions, they allow one to obtain well converged correlated intracule densities for atoms and molecules. These ideas can be applied to calculating any pair-correlation function in classical or quantum Monte Carlo calculations.
[ { "version": "v1", "created": "Sat, 5 May 2007 01:41:22 GMT" }, { "version": "v2", "created": "Fri, 29 Jun 2007 20:10:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Toulouse", "Julien", "" ], [ "Assaraf", "Roland", "" ], [ "Umrigar", "C. J.", "" ] ]
0705.0722
Takuya Okuda
Takuya Okuda
BIons in topological string theory
21 pages; v.2 references added; v.3 reference added; v.4 minor corrections; v.5 substantial rewriting
JHEP 0801:062,2008
10.1088/1126-6708/2008/01/062
NSF-KITP-07-109
hep-th
null
When many fundamental strings are stacked together, they puff up into D-branes. BIons and giant gravitons are the examples of such D-brane configurations that arise from coincident strings. We propose and demonstrate analogous transitions in topological string theory. Such transitions can also be understood in terms of the Fourier transform of D-brane amplitudes.
[ { "version": "v1", "created": "Sat, 5 May 2007 02:45:46 GMT" }, { "version": "v2", "created": "Mon, 7 May 2007 21:04:19 GMT" }, { "version": "v3", "created": "Fri, 15 Jun 2007 20:22:42 GMT" }, { "version": "v4", "created": "Wed, 12 Sep 2007 20:47:08 GMT" }, { "version": "v5", "created": "Mon, 11 Feb 2008 06:46:20 GMT" } ]
2009-04-17T00:00:00
[ [ "Okuda", "Takuya", "" ] ]
0705.0723
Kannan Soundararajan
K. Soundararajan
Partial sums of the M{\"o}bius function
11 pages; AIM preprint number 2007-23; Version 2 makes some expository changes
null
null
null
math.NT math.CA
null
Assuming the Riemann Hypothesis we establish an upper bound for the sum of the M{\" o}bius function up to $x$. Our method is based on estimating the frequency with which intervals of a given length can contain an unusual number of ordinates of zeros of the Riemann zeta-function.
[ { "version": "v1", "created": "Sat, 5 May 2007 03:36:37 GMT" }, { "version": "v2", "created": "Wed, 13 Feb 2008 18:39:48 GMT" } ]
2008-02-13T00:00:00
[ [ "Soundararajan", "K.", "" ] ]
0705.0724
Mushfiq Ahmad Mr.
Mushfiq Ahmad, Muhammad O. G. Talukder
Reciprocal Symmetric Boltzmann Function and Unified Boson-Fermion Statistics
6 pages, no figure
null
null
null
physics.gen-ph
null
The differential equation for Boltzmann's function is replaced by the corresponding discrete finite difference equation. The difference equation is, then, symmetrized so that the equation remains invariant when step d is replaced by -d. The solutions of this equation come in Boson-Fermion pairs. Reciprocal symmetric Boltzmann's function, thus, unifies both Bosonic and Fermionic distributions.
[ { "version": "v1", "created": "Sat, 5 May 2007 04:18:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Ahmad", "Mushfiq", "" ], [ "Talukder", "Muhammad O. G.", "" ] ]
0705.0725
Mark Stockman
Maxim Durach, Anastasia Rusina, Keith Nelson, and Mark I. Stockman
Toward Full Spatio-Temporal Control on the Nanoscale
4 pages, 3 figures Figures were replaced
null
10.1021/nl071718g
null
physics.optics physics.chem-ph
null
We introduce an approach to implement full coherent control on nanometer length scales. It is based on spatio-temporal modulation of the surface plasmon polariton (SPP) fields at the thick edge of a nanowedge. The SPP wavepackets propagating toward the sharp edge of this nanowedge are compressed and adiabatically concentrated at a nanofocus, forming an ultrashort pulse of local fields. The one-dimensional spatial profile and temporal waveform of this pulse are completely coherently controlled.
[ { "version": "v1", "created": "Sat, 5 May 2007 05:31:26 GMT" } ]
2015-05-13T00:00:00
[ [ "Durach", "Maxim", "" ], [ "Rusina", "Anastasia", "" ], [ "Nelson", "Keith", "" ], [ "Stockman", "Mark I.", "" ] ]
0705.0726
Mark Strovink
Mark Strovink
Diversity of Decline-Rate-Corrected Type Ia Supernova Rise Times: One Mode or Two?
As accepted by The Astrophysical Journal; 15 pages, 6 figures, 2 tables. Explanatory material rearranged and enhanced; Fig. 4 reformatted
null
10.1086/523089
null
astro-ph
null
B-band light-curve rise times for eight unusually well-observed nearby Type Ia supernovae (SNe) are fitted by a newly developed template-building algorithm, using light-curve functions that are smooth, flexible, and free of potential bias from externally derived templates and other prior assumptions. From the available literature, photometric BVRI data collected over many months, including the earliest points, are reconciled, combined, and fitted to a unique time of explosion for each SN. On average, after they are corrected for light-curve decline rate, three SNe rise in 18.81 +- 0.36 days, while five SNe rise in 16.64 +- 0.21 days. If all eight SNe are sampled from a single parent population (a hypothesis not favored by statistical tests), the rms intrinsic scatter of the decline-rate-corrected SN rise time is 0.96 +0.52 -0.25 days -- a first measurement of this dispersion. The corresponding global mean rise time is 17.44 +- 0.39 days, where the uncertainty is dominated by intrinsic variance. This value is ~2 days shorter than two published averages that nominally are twice as precise, though also based on small samples. When comparing high-z to low-z SN luminosities for determining cosmological parameters, bias can be introduced by use of a light-curve template with an unrealistic rise time. If the period over which light curves are sampled depends on z in a manner typical of current search and measurement strategies, a two-day discrepancy in template rise time can bias the luminosity comparison by ~0.03 magnitudes.
[ { "version": "v1", "created": "Sat, 5 May 2007 05:05:22 GMT" }, { "version": "v2", "created": "Thu, 6 Sep 2007 22:42:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Strovink", "Mark", "" ] ]
0705.0727
Armen Nersessian
Armen Nersessian and Vadim Ohanyan
Multi-center MICZ-Kepler systems
7 pages, typos corrected, refs added. Contribution to the Proceedings of International Workshop on Classical and Quantum Integrable systems, 24-28.01.2007, Dubna, Russia
Theor.Math.Phys.155:618-626,2008
10.1007/s11232-008-0051-6
null
math-ph hep-th math.MP
null
We present the classical solutions of the two-center MICZ-Kepler and MICZ-Kepler-Stark systems. Then we suggest the model of multi-center MICZ-Kepler system on the curved spaces equipped with $so(3)$-invariant conformal flat metrics.
[ { "version": "v1", "created": "Sat, 5 May 2007 06:06:40 GMT" }, { "version": "v2", "created": "Wed, 18 Jul 2007 09:00:57 GMT" }, { "version": "v3", "created": "Fri, 7 Sep 2007 07:16:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Nersessian", "Armen", "" ], [ "Ohanyan", "Vadim", "" ] ]
0705.0728
Sergiu Vacaru I.
Sergiu I. Vacaru
Nonholonomic Ricci Flows: Exact Solutions and Gravity
latex2e, 11pt, 39 pages; title changed; typos corrected and updated references; for publication in EJTP
Electronic Journal of Theoretical Physics (EJTP) 6 (2009) 27-58
null
null
math-ph gr-qc hep-th math.DG math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In a number of physically important cases, the nonholonomically (nonintegrable) constrained Ricci flows can be modelled by exact solutions of Einstein equations with nonhomogeneous (anisotropic) cosmological constants. We develop two geometric methods for constructing such solutions: The first approach applies the formalism of nonholonomic frame deformations when the gravitational evolution and field equations transform into systems of nonlinear partial differential equations which can be integrated in general form. The second approach develops a general scheme when one (two) parameter families of exact solutions are defined by any source-free solutions of Einstein's equations with one (two) Killing vector field(s). A successive iteration procedure results in a class of solutions characterized by an infinite number of parameters for a non-Abelian group involving arbitrary functions on one variable. We also consider nonlinear superpositions of some mentioned classes of solutions in order to construct more general integral varieties of the Ricci flow and Einstein equations depending on infinite number of parameters and three/ four coordinates on four/ five dimensional (semi) Riemannian spaces.
[ { "version": "v1", "created": "Sat, 5 May 2007 19:50:49 GMT" }, { "version": "v2", "created": "Tue, 17 Feb 2009 20:30:00 GMT" } ]
2009-02-17T00:00:00
[ [ "Vacaru", "Sergiu I.", "" ] ]
0705.0729
Sergiu Vacaru I.
Sergiu I. Vacaru
Nonholonomic Ricci Flows and Parametric Deformations of the Solitonic pp--Waves and Schwarzschild Solutions
latex2e, 11pt, the variant accepted for EJTP
Electronic Journal of Theoretical Physics (EJTP) 6, N21, (2009) 63-93
null
null
math-ph gr-qc hep-th math.DG math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study Ricci flows of some classes of physically valuable solutions in Einstein and string gravity. The anholonomic frame method is applied for generic off-diagonal metric ansatz when the field/ evolution equations are transformed into exactly integrable systems of partial differential equations. The integral varieties of such solutions, in four and five dimensional gravity, depend on arbitrary generation and integration functions of one, two and/ or three variables. Certain classes of nonholonomic frame constraints allow us to select vacuum and/or Einstein metrics, to generalize such solutions for nontrivial string (for instance, with antisymmetric torsion fields) and matter field sources. A very important property of this approach (originating from Finsler and Lagrange geometry but re-defined for semi-Riemannian spaces) is that new classes of exact solutions can be generated by nonholonomic deformations depending on parameters associated to some generalized Geroch transforms and Ricci flow evolution. In this paper, we apply the method to construct in explicit form some classes of exact solutions for multi-parameter Einstein spaces and their nonholonomic Ricci flows describing evolutions/ interactions of solitonic pp-waves and deformations of the Schwarzschild metric. We explore possible physical consequences and speculate on their importance in modern gravity.
[ { "version": "v1", "created": "Sat, 5 May 2007 06:18:30 GMT" }, { "version": "v2", "created": "Wed, 9 May 2007 16:37:53 GMT" }, { "version": "v3", "created": "Sat, 2 May 2009 10:06:54 GMT" } ]
2009-05-05T00:00:00
[ [ "Vacaru", "Sergiu I.", "" ] ]
0705.0730
Mushfiq Ahmad Mr.
Mushfiq Ahmad, Muhammad O. G. Talukder
Reciprocal Symmetry and Unified Classico-Quantum Oscillator And Consistency between a Particle in a Potential Well and a Harmonic Oscillator
6 pages, no figure
null
null
null
quant-ph
null
The function exp(iwt) describes an oscillating motion. Energy of the oscillator is proportional to the square of w. exp(iwt) is the solution of a differential equation. We have replaced this differential equation by the corresponding finite-time difference equation with d as the smallest span of time. We have, then, symmetrized the equation so that it remains invariant under the change d going to -d. This symmetric equation has solutions in pairs. The angular speed w is modified to w' or w". w' contains a part with an integer. w" contains a part with a half-integer. This corresponds to quantum mechanical oscillator energy levels. F= a.exp(iwt) describes oscillation between -a and +a. If we make w=0, F describes free oscillation between -a and +a. Reciprocal symmetric oscillator, thus, unifies quantum and classical harmonic oscillators on one hand, and a harmonic oscillator and a free particle in a potential well on the other hand. No quantum mechanical postulates are involved.
[ { "version": "v1", "created": "Sat, 5 May 2007 06:24:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Ahmad", "Mushfiq", "" ], [ "Talukder", "Muhammad O. G.", "" ] ]
0705.0731
Oleksiy Roslyak V
Oleksiy Roslyak and Joseph L. Birman
Theory of enhanced dynamical photo-thermal bi-stability effects in cuprous oxide/organic hybrid heterostructure
6 pages, 7 Figures
null
10.1016/j.ssc.2007.06.024
null
cond-mat.mtrl-sci
null
We theoretically demonstrate the formation of multiple bi-stability regions in the temperature pattern on the interface between a cuprous oxide quantum well and DCM2:CA:PS organic compound. The Frenkel molecular exciton of the DCM2 is brought into resonance with the $1S$ quadrupole Wannier-Mott exciton in the cuprous oxide by "solvatochromism" with CA. The resulting hybrid is thermalized with surrounding helium bath. This leads to strongly non-linear temperature dependence of the laser field detuning from the quadrupole exciton energy band which is associated with the temperature induced red shift of the Wannier exciton energy. Numerical up and down-scan for the detuning reveals hysteresis-like temperature distribution. The obtained \emph{multiple} bi-stability regions are at least three orders of magnitude bigger ($meV$) than the experimentally observed bi-stability in bulk cuprous oxide ($\mu eV$). The effective absorption curve exhibits highly asymmetrical behavior for the Frenkel-like (above the $1S$ energy) and Wannier-like (below the $1S$ energy) branches of the hybrid.
[ { "version": "v1", "created": "Sat, 5 May 2007 06:54:28 GMT" } ]
2009-11-13T00:00:00
[ [ "Roslyak", "Oleksiy", "" ], [ "Birman", "Joseph L.", "" ] ]
0705.0732
Sergey Zlobin Alekseevich
Jonathan Sondow (New York), Sergey Zlobin (Moscow)
Integrals Over Polytopes, Multiple Zeta Values and Polylogarithms, and Euler's Constant
19 pages, to appear in Mat Zametki. Ver 2.: Added Remark 3 on a Chen (Drinfeld-Kontsevich) iterated integral; simplified Proposition 2; gave reference for (19); corrected [16]; fixed typo
Math. Notes (in English) 84 (2008) pp. 568-583; Mat. Zametki (in Russian) 84:4 (2008) pp. 609-626
10.1134/S0001434608090290
null
math.NT math.CV
null
Let $T$ be the triangle with vertices (1,0), (0,1), (1,1). We study certain integrals over $T$, one of which was computed by Euler. We give expressions for them both as a linear combination of multiple zeta values, and as a polynomial in single zeta values. We obtain asymptotic expansions of the integrals, and of sums of certain multiple zeta values with constant weight. We also give related expressions for Euler's constant. In the final section, we evaluate more general integrals -- one is a Chen (Drinfeld-Kontsevich) iterated integral -- over some polytopes that are higher-dimensional analogs of $T$. This leads to a relation between certain multiple polylogarithm values and multiple zeta values.
[ { "version": "v1", "created": "Sat, 5 May 2007 07:22:23 GMT" }, { "version": "v2", "created": "Mon, 24 Sep 2007 07:18:08 GMT" } ]
2008-10-30T00:00:00
[ [ "Sondow", "Jonathan", "", "New York" ], [ "Zlobin", "Sergey", "", "Moscow" ] ]
0705.0733
Avijit Lahiri
Avijit Lahiri
Mixing and decoherence to nearest separable states in quantum measurements
6 pages, 2 figures
null
null
null
quant-ph
null
We illustrate through numerical results a number of features of environment-induced decoherence under a broad class of apparatus-environment interactions in quantum measurements wherein the reduced system-apparatus density matrix evolves towards the nearest separable state and, in addition, there occurs a mixing in relevant groups of apparatus microstates (see below). The resulting final state is unique and correctly embodies the measurement statistics even in the absence of environment-induced superselection because of energy differences between these groups of states. The partial transpose remains non-positive throughout the process.
[ { "version": "v1", "created": "Sat, 5 May 2007 08:32:07 GMT" }, { "version": "v2", "created": "Sat, 26 May 2007 19:01:22 GMT" } ]
2007-06-13T00:00:00
[ [ "Lahiri", "Avijit", "" ] ]
0705.0734
Sanjiang Li
Sanjiang Li and Mingsheng Ying
Soft constraint abstraction based on semiring homomorphism
18 pages, 1 figure
Theoretical Computer Science 403(2-3) 192-201, 2008
10.1016/j.tcs.2008.03.029
null
cs.AI
null
The semiring-based constraint satisfaction problems (semiring CSPs), proposed by Bistarelli, Montanari and Rossi \cite{BMR97}, is a very general framework of soft constraints. In this paper we propose an abstraction scheme for soft constraints that uses semiring homomorphism. To find optimal solutions of the concrete problem, the idea is, first working in the abstract problem and finding its optimal solutions, then using them to solve the concrete problem. In particular, we show that a mapping preserves optimal solutions if and only if it is an order-reflecting semiring homomorphism. Moreover, for a semiring homomorphism $\alpha$ and a problem $P$ over $S$, if $t$ is optimal in $\alpha(P)$, then there is an optimal solution $\bar{t}$ of $P$ such that $\bar{t}$ has the same value as $t$ in $\alpha(P)$.
[ { "version": "v1", "created": "Sat, 5 May 2007 08:47:31 GMT" } ]
2010-07-01T00:00:00
[ [ "Li", "Sanjiang", "" ], [ "Ying", "Mingsheng", "" ] ]
0705.0735
Ashoke Sen
Justin R. David, Bindusar Sahoo, Ashoke Sen
AdS_3, Black Holes and Higher Derivative Corrections
LaTeX file, 12 pages; v2: reference added
JHEP 0707:058,2007
10.1088/1126-6708/2007/07/058
null
hep-th
null
Using AdS/CFT correspondence and the Euclidean action formalism for black hole entropy Kraus and Larsen have argued that the entropy of a BTZ black hole in three dimensional supergravity with (0,4) supersymmetry does not receive any correction from higher derivative terms in the action. We argue that as a consequence of AdS/CFT correspondence the action of a three dimensional supergravity with (0,4) supersymmetry cannot receive any higher derivative correction except for those which can be removed by field redefinition. The non-renormalization of the entropy then follows as a consequence of this and the invariance of Wald's formula under a field redefinition.
[ { "version": "v1", "created": "Sat, 5 May 2007 09:44:53 GMT" }, { "version": "v2", "created": "Sat, 19 May 2007 04:42:49 GMT" } ]
2009-04-17T00:00:00
[ [ "David", "Justin R.", "" ], [ "Sahoo", "Bindusar", "" ], [ "Sen", "Ashoke", "" ] ]
0705.0736
Tien Quang Nguyen
Nguyen Tien Quang and Pham Le Hong Anh
On monoidal equivalences and Ann-equivalences
14 pages
null
null
null
math.CT
null
In this paper, we show another proof of the problem by constructing a strict monoidal category M(C) consisting of M-functors and M-morphisms of a category C and we prove C is equivalent to it. The proof is based on a basic character of monoidal equivalences. Ideas and techniques of these proofs can been used to prove the equivalence between an Ann-category and an almost strict Ann-category.
[ { "version": "v1", "created": "Sat, 5 May 2007 09:47:01 GMT" }, { "version": "v2", "created": "Wed, 25 May 2011 08:03:13 GMT" } ]
2011-05-26T00:00:00
[ [ "Quang", "Nguyen Tien", "" ], [ "Anh", "Pham Le Hong", "" ] ]
0705.0737
Frederic Campana
Frederic Campana
Orbifoldes speciales et classification bimeromorphe des varietes kaehleriennes compactes
null
null
null
null
math.AG math.CV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is a sequel to [Ca01]=math.AG/0110051. We define the bimeromorphic {\it category} of geometric orbifolds. These interpolate between (compact K\" ahler) manifolds and such manifolds with logarithmic structure. These geometric orbifolds are considered from the point of view of their geometry, and thus equipped with the usual invariants of varieties: morphisms and bimeromorphic maps, differential forms, fundamental groups and universal covers, fields of definition and rational points. The most elementary properties, directly adapted from the case of varieties without orbifold structure, are established here. The arguments of [Ca01] can then be directly adapted to extend the main structure results to this orbifold category. We hope to come back to deeper aspects later. The motivation is that the natural frame for the theory of classification of compact K\" ahler (and complex projective) manifolds includes at least the category of orbifolds, as shown in [Ca01] by the fonctorial decomposition of {\it special} manifolds as tower of orbifolds with either $\kappa_+=-\infty$ or $\kappa=0$, and also, seemingly, by the minimal model program, in which most proofs work only after the adjunction of a "boundary". Also, fibrations enjoy in the bimeromorphic category of geometric orbifolds extension properties not satisfied in the category of varieties without orbifold structure, permitting to express invariants of the total space from those of the generic fibre and of the base. For example, the natural sequence of fundamental groups is exact there; also the total space is special if so are the generic fibre and the base. This makes this category suitable to lift properties from orbifolds having either $\kappa_+=-\infty$ or $\kappa=0$ to those which are special.
[ { "version": "v1", "created": "Sat, 5 May 2007 10:11:35 GMT" }, { "version": "v2", "created": "Wed, 27 Jun 2007 12:03:45 GMT" }, { "version": "v3", "created": "Sat, 30 Jun 2007 10:05:33 GMT" }, { "version": "v4", "created": "Fri, 21 Dec 2007 15:11:16 GMT" }, { "version": "v5", "created": "Fri, 3 Oct 2008 15:44:11 GMT" }, { "version": "v6", "created": "Sat, 6 Dec 2008 15:01:50 GMT" }, { "version": "v7", "created": "Tue, 5 May 2009 14:28:56 GMT" }, { "version": "v8", "created": "Wed, 15 Jul 2009 08:55:46 GMT" } ]
2009-07-15T00:00:00
[ [ "Campana", "Frederic", "" ] ]
0705.0738
Damien Chablat
Damien Chablat (IRCCyN), St\'ephane Caro (IRCCyN), Emilie Bouyer (IRCCyN)
The Optimization of a Novel Prismatic Drive
null
null
null
null
cs.RO
null
The design of a mechanical transmission taking into account the transmitted forces is reported in this paper. This transmission is based on Slide-o-Cam, a cam mechanism with multiple rollers mounted on a common translating follower. The design of Slide-o-Cam, a transmission intended to produce a sliding motion from a turning drive, or vice versa, was reported elsewhere. This transmission provides pure-rolling motion, thereby reducing the friction of rack-and-pinions and linear drives. The pressure angle is a relevant performance index for this transmission because it determines the amount of force transmitted to the load vs. that transmitted to the machine frame. To assess the transmission capability of the mechanism, the Hertz formula is introduced to calculate the stresses on the rollers and on the cams. The final transmission is intended to replace the current ball-screws in the Orthoglide, a three-DOF parallel robot for the production of translational motions, currently under development for machining applications at Ecole Centrale de Nantes.
[ { "version": "v1", "created": "Sat, 5 May 2007 10:28:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Chablat", "Damien", "", "IRCCyN" ], [ "Caro", "Stéphane", "", "IRCCyN" ], [ "Bouyer", "Emilie", "", "IRCCyN" ] ]
0705.0739
Henrik Densing Petersen
Henrik Densing Petersen
Composability in a certain family of entropies
7 pages, updated references and introduction / discussion sections. Main text remains unchanged
null
null
null
cond-mat.stat-mech
null
It is shown that the Tsallis entropies are the only entropies of the form $H(P)=-\sum_i f(p_i)$, with suitable assumptions on $f$, satisfying the condition of composability.
[ { "version": "v1", "created": "Sat, 5 May 2007 10:32:55 GMT" }, { "version": "v2", "created": "Tue, 16 Oct 2007 13:14:27 GMT" } ]
2007-10-16T00:00:00
[ [ "Petersen", "Henrik Densing", "" ] ]
0705.0740
Farook Rahaman
F.Rahaman, M.Kalam and S.Chakraborty
Gravitational lensing by stable C-field wormhole
15 pages, 3 figures. Submitted in Chin.J.phys. after minor revisions, some references added
Chin.J.Phys.45:518,2007
null
null
gr-qc
null
It has been recently shown that Hoyle-Narlikar's C-field theory admits wormhole geometry. We derive the deflection angle of light rays caused by C-field wormhole in the strong field limit approach of gravitational lensing theory. The linearized stability of C-field wormhole under spherically symmetric perturbations about static equilibrium is also explored.
[ { "version": "v1", "created": "Sat, 5 May 2007 11:18:35 GMT" }, { "version": "v2", "created": "Mon, 4 Jun 2007 09:06:05 GMT" } ]
2008-11-26T00:00:00
[ [ "Rahaman", "F.", "" ], [ "Kalam", "M.", "" ], [ "Chakraborty", "S.", "" ] ]
0705.0741
Khurram Shabbir
Khurram Shabbir
On the torsion of Brieskorn modules of homogeneous polynomials
null
null
null
null
math.AG
null
Let $f\in \mathbb{C}[X_1,..., X_n]$ be a homogeneous polynomial and B(f) be the corresponding Brieskorn module. We describe the torsion of the Brieskorn module B(f) for n=2 and show that any torsion element has order 1. For n>2, we find some examples in which the torsion order is strictly greater than 1.
[ { "version": "v1", "created": "Sat, 5 May 2007 10:59:51 GMT" }, { "version": "v2", "created": "Tue, 8 May 2007 07:48:28 GMT" }, { "version": "v3", "created": "Mon, 6 Aug 2007 12:47:53 GMT" } ]
2007-08-06T00:00:00
[ [ "Shabbir", "Khurram", "" ] ]
0705.0742
K. P.N. Murthy
V.Sundaram and K.P.N.Murthy
MIMO detection employing Markov Chain Monte Carlo
8 pages; 3 figures
null
null
null
cs.GL
null
We propose a soft-output detection scheme for Multiple-Input-Multiple-Output (MIMO) systems. The detector employs Markov Chain Monte Carlo method to compute bit reliabilities from the signals received and is thus suited for coded MIMO systems. It offers a good trade-off between achievable performance and algorithmic complexity.
[ { "version": "v1", "created": "Sat, 5 May 2007 12:04:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Sundaram", "V.", "" ], [ "Murthy", "K. P. N.", "" ] ]
0705.0743
Valentin Zakharov
V.I. Zakharov
Nonperturbative physics at short distances
15 pages, contributed to International Symposium on the Jubilee of the Sakata Model (pnLambda50), Nagoya, Japan, Nov. 2006
null
10.1143/PTPS.167.105
null
hep-ph
null
There is accumulating evidence in lattice QCD that attempts to locate confining fields in vacuum configurations bring results explicitly depending on tha lattice spacing (that is, ultraviolet cut off). Generically, one deals with low-dimensional vacuum defects which occupy a vanishing fraction of the total four-dimensional space. We review briefly existing data on the vacuum defects and their significance for confinement and other nonperturbative phenomena. We introduce the notion of `quantum numbers' of the defects and draw an analogy, rather formal one, to developments which took place about 50 years ago and were triggered by creation of the Sakata model.
[ { "version": "v1", "created": "Sat, 5 May 2007 12:29:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Zakharov", "V. I.", "" ] ]
0705.0744
Tomislav Ivezic
Tomislav Ivezi\'c
Classical and Quantum Interaction of the Dipole Revisited
8 pages, sections are added, minor changes in the text
null
null
null
hep-th quant-ph
null
The interaction of the electric and magnetic dipole moments of a particle with the electromagnetic field is investigated in an approach that deals with four-dimensional (4D) geometric quantities. The new commutation relations for the 4D orbital and intrinsic angular momentums and also for the 4D dipole moments are introduced. The expectation value of the quantum 4-force, which holds in any frame, is worked out in terms of them. In contrast to it the whole calculation in [1] ([1] J. Anandan, Phys. Rev. Lett. \textbf{85}, 1354 (2000)) has been made only in the rest frame of the dipole. It is proved that, e.g., the expression for the 3D force $\mathbf{f}%_{S}$ in [1] is not relativistically correct and that the quantum 4-force is not zero in the experiments proposed in [1]. This means that the phase shifts that could be observed in such experiments are not topological phase shifts.
[ { "version": "v1", "created": "Sat, 5 May 2007 12:45:15 GMT" }, { "version": "v2", "created": "Wed, 26 Sep 2007 10:40:04 GMT" } ]
2011-11-09T00:00:00
[ [ "Ivezić", "Tomislav", "" ] ]
0705.0745
Rigoberto Hernandez
Alex V. Popov and Rigoberto Hernandez
The ontology of temperature in nonequilibrium systems
J.Chem.Phys. (in press); 23 pages, 3 figures, 1 table
null
10.1063/1.2743032
null
cond-mat.stat-mech
null
The laws of thermodynamics provide a clear concept of the temperature for an equilibrium system in the continuum limit. Meanwhile, the equipartition theorem allows one to make a connection between the ensemble average of the kinetic energy and the uniform temperature. When a system or its environment is far from equilibrium, however, such an association does not necessarily apply. In small systems, the regression hypothesis may not even apply. Herein, we show that in small nonequilibrium systems, the regression hypothesis still holds though with a generalized definition of the temperature. The latter must now be defined for each such manifestation.
[ { "version": "v1", "created": "Sat, 5 May 2007 12:59:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Popov", "Alex V.", "" ], [ "Hernandez", "Rigoberto", "" ] ]
0705.0746
Heidi Rzehak
S. Heinemeyer, W. Hollik, H. Rzehak, G. Weiglein
The Higgs sector of the complex MSSM at two-loop order: QCD contributions
15 pages, 7 figures; minor changes; published version
Phys.Lett.B652:300-309,2007
10.1016/j.physletb.2007.07.030
DCPT/07/34, IPPP/07/17, MPP-2007-52, PSI-PR-07-02
hep-ph
null
Results are presented for the leading two-loop contributions of O(alpha_t alpha_s) to the masses and mixing effects in the Higgs sector of the MSSM with complex parameters. They are obtained in the Feynman-diagrammatic approach using on-shell renormalization. The full dependence on all complex phases is taken into account. The renormalization of the appropriate contributions of the Higgs-boson sector and the scalar top and bottom sector is discussed. Our numerical analysis for the lightest MSSM Higgs-boson mass is based on the new two-loop corrections, supplemented by the full one-loop result. The corrections induced by the phase variation in the scalar top sector are enhanced by the two-loop contributions. We find that the corresponding shift in M_h1 can amount to 5 GeV.
[ { "version": "v1", "created": "Mon, 7 May 2007 16:37:36 GMT" }, { "version": "v2", "created": "Fri, 16 Nov 2007 18:00:08 GMT" } ]
2008-11-26T00:00:00
[ [ "Heinemeyer", "S.", "" ], [ "Hollik", "W.", "" ], [ "Rzehak", "H.", "" ], [ "Weiglein", "G.", "" ] ]
0705.0747
David Campo
David Campo, Jens Niemeyer, and Renaud Parentani
Damped Corrections to Inflationary Spectra from a Fluctuating Cutoff
null
Phys.Rev.D76:023513,2007
10.1103/PhysRevD.76.023513
null
hep-th
null
We reconsider trans-Planckian corrections to inflationary spectra by taking into account a physical effect which has been overlooked and which could have important consequences. We assume that the short length scale characterizing the new physics is endowed with a finite width, the origin of which could be found in quantum gravity. As a result, the leading corrections responsible for superimposed osillations in the CMB temperature anisotropies are generically damped by the blurring of the UV scale. To determine the observational ramifications of this damping, we compare it to that which effectively occurs when computing the angular power spectrum of temperature anisotropies. The former gives an overall change of the oscillation amplitudes whereas the latter depends on the angular scale. Therefore, in principle they could be distinguished. In any case, the observation of superimposed oscillations would place tight constraint on the variance of the UV cutoff.
[ { "version": "v1", "created": "Sat, 5 May 2007 13:35:30 GMT" } ]
2008-11-26T00:00:00
[ [ "Campo", "David", "" ], [ "Niemeyer", "Jens", "" ], [ "Parentani", "Renaud", "" ] ]
0705.0748
Jarrod R. Hurley
Jarrod R. Hurley
Ratios of star cluster core and half-mass radii: a cautionary note on intermediate-mass black holes in star clusters
14 pages, 7 figures, accepted for publication in MNRAS
Mon.Not.Roy.Astron.Soc.379:93-99,2007
10.1111/j.1365-2966.2007.11912.x
null
astro-ph
null
There is currently much interest in the possible presence of intermediate-mass black holes in the cores of globular clusters. Based on theoretical arguments and simulation results it has previously been suggested that a large core radius -- or particularly a large ratio of the core radius to half-mass radius -- is a promising indicator for finding such a black hole in a star cluster. In this study N-body models of 100000 stars with and without primordial binaries are used to investigate the long-term structural evolution of star clusters. Importantly, the simulation data is analysed using the same processes by which structural parameters are extracted from observed star clusters. This gives a ratio of the core and half-mass (or half-light) radii that is directly comparable to the Galactic globular cluster sample. As a result, it is shown that the ratios observed for the bulk of this sample can be explained without the need for an intermediate-mass black hole. Furthermore, it is possible that clusters with large core to half-light radius ratios harbour a black-hole binary (comprised of stellar mass black holes) rather than a single massive black hole. This work does not rule out the existence of intermediate-mass black holes in the cores of at least some star clusters.
[ { "version": "v1", "created": "Sat, 5 May 2007 14:09:23 GMT" } ]
2009-06-23T00:00:00
[ [ "Hurley", "Jarrod R.", "" ] ]
0705.0749
Oleksiy Roslyak V
Oleksiy Roslyak and Joseph L. Birman
Evanescent quadrupole polariton
4 pages, 3 figures; APS/PREPRINT
null
10.1016/j.ssc.2007.10.002
null
cond-mat.mtrl-sci
null
In the work we demonstrate the formation of new type of polariton on the interface between a cuprous oxide slab and a polystyrene micro-sphere placed on the slab. The evanescent field of the resonant whispering gallery mode (WGM) has a substantial gradient, and therefore effectively couples with the quadrupole $1S$ excitons in cuprous oxide. This evanescent polariton has a long life-time ($1.7 ns$), which is determined only by its excitonic component. The polariton lower branch has a well pronounced minimum. This suggests that this excitation can be utilized for BEC. The spatial coherence of the polariton can be improved by assembling the micro-spheres in a linear chain.
[ { "version": "v1", "created": "Sat, 5 May 2007 14:32:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Roslyak", "Oleksiy", "" ], [ "Birman", "Joseph L.", "" ] ]
0705.0750
Stefano Covino
S. Covino
A Closer Look at a Gamma-Ray Burst
2 pages, 1 figure; Science perspective to Mundell et al. 2007, Science, 315, 1822
Science 315:1798-1799,2007
10.1126/science.1140172
null
astro-ph
null
A study of gamma rays produced when stars collapse or collide reveals details of the explosion mechanism, particularly the role of magnetic fields.
[ { "version": "v1", "created": "Sat, 5 May 2007 15:00:21 GMT" } ]
2009-06-23T00:00:00
[ [ "Covino", "S.", "" ] ]
0705.0751
Pere Constans
Pere Constans
Approximate textual retrieval
null
null
null
null
cs.IR cs.DL
null
An approximate textual retrieval algorithm for searching sources with high levels of defects is presented. It considers splitting the words in a query into two overlapping segments and subsequently building composite regular expressions from interlacing subsets of the segments. This procedure reduces the probability of missed occurrences due to source defects, yet diminishes the retrieval of irrelevant, non-contextual occurrences.
[ { "version": "v1", "created": "Sat, 5 May 2007 17:27:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Constans", "Pere", "" ] ]
0705.0752
Fabio Riccioni
Fabio Riccioni, Peter West
The E_{11} origin of all maximal supergravities
54 pages
JHEP 0707:063,2007
10.1088/1126-6708/2007/07/063
KCL-MTH-07-04
hep-th
null
Starting from the eleven dimensional E_{11} non-linear realisation of M-theory we compute all possible forms, that is objects with totally antisymmetrised indices, that occur in four dimensions and above as well as all the 1-forms and 2-forms in three dimensions. In any dimension D, the D-1-forms lead to maximal supergravity theories with cosmological constants and they are in precise agreement with the patterns of gauging found in any dimension using supersymmetry. The D-forms correspond to the presence of space-filling branes which are crucial for the consistency of orientifold models and have not been derived from an alternative approach, with the exception of the 10-dimensional case. It follows that the gaugings of supergravities and the spacetime-filling branes possess an eleven dimensional origin within the E_{11} formulation of M-theory. This and previous results very strongly suggest that all the fields in the adjoint representation of E_{11} have a physical interpretation.
[ { "version": "v1", "created": "Mon, 7 May 2007 08:36:53 GMT" } ]
2009-04-17T00:00:00
[ [ "Riccioni", "Fabio", "" ], [ "West", "Peter", "" ] ]
0705.0753
Matthias Brack
Matthias Brack and Kaori Tanaka
Transcritical bifurcations in non-integrable Hamiltonian systems
LaTeX, 38 pages, 13 figures; substantially revised version v4; to be published in Phys. Rev. E
Phys. Rev. E 77, 046205 (2008)
10.1103/PhysRevE.77.046205
null
nlin.CD math.DS
null
We report on transcritical bifurcations of periodic orbits in non-integrable two-dimensional Hamiltonian systems. We discuss their existence criteria and some of their properties using a recent mathematical description of transcritical bifurcations in families of symplectic maps. We then present numerical examples of transcritical bifurcations in a class of generalized H\'enon-Heiles Hamiltonians and illustrate their stabilities and unfoldings under various perturbations of the Hamiltonians. We demonstrate that for Hamiltonians containing straight-line librating orbits, the transcritical bifurcation of these orbits is the typical case which occurs also in the absence of any discrete symmetries, while their isochronous pitchfork bifurcation is an exception. We determine the normal forms of both types of bifurcations and derive the uniform approximation required to include transcritically bifurcating orbits in the semiclassical trace formula for the density of states of the quantum Hamiltonian. We compute the coarse-grained density of states in a specific example both semiclassically and quantum mechanically and find excellent agreement of the results.
[ { "version": "v1", "created": "Sat, 5 May 2007 16:52:59 GMT" }, { "version": "v2", "created": "Thu, 18 Oct 2007 09:54:29 GMT" }, { "version": "v3", "created": "Wed, 31 Oct 2007 08:34:54 GMT" }, { "version": "v4", "created": "Fri, 7 Mar 2008 08:53:31 GMT" } ]
2008-04-14T00:00:00
[ [ "Brack", "Matthias", "" ], [ "Tanaka", "Kaori", "" ] ]
0705.0754
Luda Markus-Epstein
L. Markus-Epstein
Stallings' Foldings and Subgroups of Amalgams of Finite Groups
43 pages with 14 figures
null
null
null
math.GR
null
In the 1980's Stallings showed that every finitely generated subgroup of a free group is canonically represented by a finite minimal immersion of a bouquet of circles. In terms of the theory of automata, this is a minimal finite inverse automaton. This allows for the deep algorithmic theory of finite automata and finite inverse monoids to be used to answer questions about finitely generated subgroups of free groups. In this paper we attempt to apply the same methods to other classes of groups. A fundamental new problem is that the Stallings folding algorithm must be modified to allow for ``sewing'' on relations of non-free groups. We look at the class of groups that are amalgams of finite groups. It is known that these groups are locally quasiconvex and thus all finitely generated subgroups are represented by finite automata. We present an algorithm to compute such a finite automaton and use it to solve various algorithmic problems.
[ { "version": "v1", "created": "Sat, 5 May 2007 16:34:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Markus-Epstein", "L.", "" ] ]
0705.0755
George Batrouni
K. Bouadim, N. Paris, F. Hebert, G.G. Batrouni, and R.T. Scalettar
Metallic phase in the two-dimensional ionic Hubbard model
null
Phys Rev B76, 085112 (2007).
10.1103/PhysRevB.76.085112
null
cond-mat.str-el
null
We investigate the phases of the ionic Hubbard model in a two-dimensional square lattice using determinant quantum Monte Carlo (DQMC). At half-filling, when the interaction strength or the staggered potential dominate we find Mott and band insulators, respectively. When these two energies are of the same order we find a metallic region. Charge and magnetic structure factors demonstrate the presence of antiferromagnetism only in the Mott region, although the externally imposed density modulation is present everywhere in the phase diagram. Away from half-filling, other insulating phases are found. Kinetic energy correlations do not give clear signals for the existence of a bond-ordered phase.
[ { "version": "v1", "created": "Sat, 5 May 2007 16:42:34 GMT" } ]
2009-11-13T00:00:00
[ [ "Bouadim", "K.", "" ], [ "Paris", "N.", "" ], [ "Hebert", "F.", "" ], [ "Batrouni", "G. G.", "" ], [ "Scalettar", "R. T.", "" ] ]
0705.0756
Yakov Itin
Yakov Itin (Institute of Mathematics, Hebrew University of Jerusalem)
A generalized photon propagator
null
J.Phys.A40:F737-F744,2007
10.1088/1751-8113/40/30/F06
null
hep-th
null
A covariant gauge independent derivation of the generalized dispersion relation of electromagnetic waves in a medium with local and linear constitutive law is presented. A generalized photon propagator is derived. For Maxwell constitutive tensor, the standard light cone structure and the standard Feynman propagator are reinstated.
[ { "version": "v1", "created": "Mon, 7 May 2007 19:34:42 GMT" } ]
2008-11-26T00:00:00
[ [ "Itin", "Yakov", "", "Institute of Mathematics, Hebrew University of Jerusalem" ] ]
0705.0757
Rainer Schiel
Rainer W. Schiel and John P. Ralston
A Pionic Hadron Explains the Muon Magnetic Moment Anomaly
14 pages, 2 figures, revised version, accepted for publication in Physics Letters B
Phys.Lett.B657:43-48,2007
10.1016/j.physletb.2007.09.040
null
hep-ph nucl-th
null
A significant discrepancy exists between experiment and calculations of the muon's magnetic moment. We find that standard formulas for the hadronic vacuum polarization term have overlooked pionic states known to exist. Coulomb binding alone guarantees $\pi^+ \pi^-$ states that quantum mechanically mix with the $\rho$ meson. A simple 2-state mixing model explains the magnetic moment discrepancy for a mixing angle of order $\alpha \sim 10^{-2}$. The relevant physical state is predicted to give a tiny observable bump in the ratio R(s) of $e^+ e^-$ annihilation at a low energy not previously searched. The burden of proof is reversed for claims that conventional physics cannot explain the muon's anomalous moment.
[ { "version": "v1", "created": "Sat, 5 May 2007 17:30:29 GMT" }, { "version": "v2", "created": "Mon, 1 Oct 2007 18:10:54 GMT" } ]
2008-11-26T00:00:00
[ [ "Schiel", "Rainer W.", "" ], [ "Ralston", "John P.", "" ] ]
0705.0758
Carlos Augusto Romero Filho
F. C. Sousa, J. B. Fonseca and C. Romero
Equivalence of three-dimensional spacetimes
13 pages - content changes and corrected typos
Class.Quant.Grav.25:035007,2008
10.1088/0264-9381/25/3/035007
null
gr-qc
null
A solution to the equivalence problem in three-dimensional gravity is given and a practically useful method to obtain a coordinate invariant description of local geometry is presented. The method is a nontrivial adaptation of Karlhede invariant classification of spacetimes of general relativity. The local geometry is completely determined by the curvature tensor and a finite number of its covariant derivatives in a frame where the components of the metric are constants. The results are presented in the framework of real two-component spinors in three-dimensional spacetimes, where the algebraic classifications of the Ricci and Cotton-York spinors are given and their isotropy groups and canonical forms are determined. As an application we discuss Goedel-type spacetimes in three-dimensional General Relativity. The conditions for local space and time homogeneity are derived and the equivalence of three-dimensional Goedel-type spacetimes is studied and the results are compared with previous works on four-dimensional Goedel-type spacetimes.
[ { "version": "v1", "created": "Sat, 5 May 2007 17:51:58 GMT" }, { "version": "v2", "created": "Thu, 3 Jan 2008 18:39:06 GMT" } ]
2011-03-28T00:00:00
[ [ "Sousa", "F. C.", "" ], [ "Fonseca", "J. B.", "" ], [ "Romero", "C.", "" ] ]
0705.0759
Luda Markus-Epstein
L. Markus-Epstein
Algorithmic Problems in Amalgams of Finite Groups
39 pages with 9 figures
null
null
null
math.GR
null
Geometric methods proposed by Stallings for treating finitely generated subgroups of free groups were successfully used to solve a wide collection of decision problems for free groups and their subgroups. It turns out that Stallings' methods can be effectively generalized for the class of amalgams of finite groups. In the present paper we employ subgroup graphs constructed by the generalized Stallings' folding algorithm to solve various algorithmic problems in amalgams of finite groups.
[ { "version": "v1", "created": "Sat, 5 May 2007 18:47:29 GMT" }, { "version": "v2", "created": "Mon, 2 Jul 2007 08:49:49 GMT" } ]
2007-07-02T00:00:00
[ [ "Markus-Epstein", "L.", "" ] ]
0705.0760
Sujay Sanghavi
Sujay Sanghavi
Equivalence of LP Relaxation and Max-Product for Weighted Matching in General Graphs
6 pages, 2 figures
null
null
null
cs.IT cs.AI cs.LG cs.NI math.IT
null
Max-product belief propagation is a local, iterative algorithm to find the mode/MAP estimate of a probability distribution. While it has been successfully employed in a wide variety of applications, there are relatively few theoretical guarantees of convergence and correctness for general loopy graphs that may have many short cycles. Of these, even fewer provide exact ``necessary and sufficient'' characterizations. In this paper we investigate the problem of using max-product to find the maximum weight matching in an arbitrary graph with edge weights. This is done by first constructing a probability distribution whose mode corresponds to the optimal matching, and then running max-product. Weighted matching can also be posed as an integer program, for which there is an LP relaxation. This relaxation is not always tight. In this paper we show that \begin{enumerate} \item If the LP relaxation is tight, then max-product always converges, and that too to the correct answer. \item If the LP relaxation is loose, then max-product does not converge. \end{enumerate} This provides an exact, data-dependent characterization of max-product performance, and a precise connection to LP relaxation, which is a well-studied optimization technique. Also, since LP relaxation is known to be tight for bipartite graphs, our results generalize other recent results on using max-product to find weighted matchings in bipartite graphs.
[ { "version": "v1", "created": "Sat, 5 May 2007 18:57:47 GMT" } ]
2007-07-13T00:00:00
[ [ "Sanghavi", "Sujay", "" ] ]
0705.0761
Tshilidzi Marwala
Tshilidzi Marwala and Bodie Crossingham
Bayesian Approach to Neuro-Rough Models
24 pages, 5 figures, 1 table
null
null
null
cs.AI
null
This paper proposes a neuro-rough model based on multi-layered perceptron and rough set. The neuro-rough model is then tested on modelling the risk of HIV from demographic data. The model is formulated using Bayesian framework and trained using Monte Carlo method and Metropolis criterion. When the model was tested to estimate the risk of HIV infection given the demographic data it was found to give the accuracy of 62%. The proposed model is able to combine the accuracy of the Bayesian MLP model and the transparency of Bayesian rough set model.
[ { "version": "v1", "created": "Sun, 6 May 2007 22:55:58 GMT" }, { "version": "v2", "created": "Wed, 9 May 2007 04:13:04 GMT" }, { "version": "v3", "created": "Tue, 28 Aug 2007 09:24:46 GMT" } ]
2007-08-28T00:00:00
[ [ "Marwala", "Tshilidzi", "" ], [ "Crossingham", "Bodie", "" ] ]
0705.0762
Zhigang Han
Zhigang Han (Umass Amherst)
The bounded isometry conjecture for the Kodaira-Thurston manifold and 4-Torus
16 pages
null
null
null
math.SG
null
The purpose of this note is to study the bounded isometry conjecture proposed by Lalonde and Polterovich. In particular, we show that the conjecture holds for the Kodaira-Thurston manifold with the standard symplectic form and for the 4-torus with all linear symplectic forms.
[ { "version": "v1", "created": "Sat, 5 May 2007 19:14:35 GMT" } ]
2007-05-23T00:00:00
[ [ "Han", "Zhigang", "", "Umass Amherst" ] ]
0705.0763
Stefan Kimeswenger
Piet O. Schmidt (Exp. Physics, Univ. Innsbruck, Austria) Stefan Kimeswenger (Astro- & Particle Physics, Univ. Innsbruck, Austria) Hans Ulrich Kaeufl (ESO, Garching, Germany)
A new Generation of Spectrometer Calibration Techniques based on Optical Frequency Combs
will be published in the proceedings of "The 2007 ESO Instrument Calibration Workshop", Springer-Verlag series "ESO Astrophysics Symposia"
null
10.1007/978-3-540-76963-7_55
null
astro-ph
null
Typical astronomical spectrographs have a resolution ranging between a few hundred to 200.000. Deconvolution and correlation techniques are being employed with a significance down to 1/1000 th of a pixel. HeAr and ThAr lamps are usually used for calibration in low and high resolution spectroscopy, respectively. Unfortunately, the emitted lines typically cover only a small fraction of the spectrometer's spectral range. Furthermore, their exact position depends strongly on environmental conditions. A problem is the strong intensity variation between different (intensity ratios {>300). In addition, the brightness of the lamps is insufficient to illuminate a spectrograph via an integrating sphere, which in turn is important to calibrate a long-slit spectrograph, as this is the only way to assure a uniform illumination of the spectrograph pupil. Laboratory precision laser spectroscopy has experienced a major advance with the development of optical frequency combs generated by pulsed femto-second lasers. These lasers emit a broad spectrum (several hundred nanometers in the visible and near infra-red) of equally-spaced "comb" lines with almost uniform intensity (intensity ratios typically <10). Self-referencing of the laser establishes a precise ruler in frequency space that can be stabilized to the 10e-18 uncertainty level, reaching absolute frequency inaccuracies at the 10e-12 level per day when using the Global Positioning System's (GPS) time signal as the reference. The exploration of the merits of this new technology holds the promise for broad-band, highly accurate and reproducible calibration required for reliable operation of current and next generation astronomic spectrometers.
[ { "version": "v1", "created": "Sat, 5 May 2007 19:39:45 GMT" } ]
2015-05-13T00:00:00
[ [ "Schmidt", "Piet O.", "", "Exp. Physics, Univ. Innsbruck, Austria" ], [ "Kimeswenger", "Stefan", "", "Astro- & Particle Physics, Univ. Innsbruck, Austria" ], [ "Kaeufl", "Hans Ulrich", "", "ESO, Garching, Germany" ] ]
0705.0764
Alfredo Villanueva
Thomas Branson and Alfredo Villanueva
Symmetries in Differential Geometry: A Computational Approach to Prolongations
22 pages, 7 figures
null
null
null
math.DG
null
The aim of this work is to develop a systematic manner to close overdetermined systems arising from conformal Killing tensors (CKT). The research performs this action for 1-tensor and 2-tensors. This research makes it possible to develop a new general method for any rank of CKT. This method can also be applied to other types of Killing equations, as well as to overdetermined systems constrained by some other conditions. The major methodological apparatus of the research is a decomposition of the section bundles where the covariant derivatives of the CKT land via generalized gradients. This decomposition generates a tree in which each row represents a higher derivative. After using the conformal Killing equation, just a few components (branches) survive, which means that most of them can be expressed in terms of lower order terms. This results in a finite number of independent jets. Thus, any higher covariant derivative can be written in terms of these jets. The findings of this work are significant methodologically and, more specifically, in the potential for the discovery of symmetries. First, this work has uncovered a new method that could be used to close overdetermined systems arising from conformal Killing tensors (CKT). Second, through an application of this method, this research finds higher symmetry operators of first and second degree, which are known by other means, for the Laplace operator. The findings also reveal the first order symmetry operators for the Yamabe case. Moreover, the research leads to conjectures about the second order symmetries of the Yamabe operator.
[ { "version": "v1", "created": "Sat, 5 May 2007 20:32:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Branson", "Thomas", "" ], [ "Villanueva", "Alfredo", "" ] ]
0705.0765
Cesare Tronci
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
Geometric dissipation in kinetic equations
7 pages, no figures. C. R. Math. Acad. Sci. Paris (in press)
null
10.1016/j.crma.2007.07.001
null
physics.plasm-ph nlin.AO
null
A new symplectic variational approach is developed for modeling dissipation in kinetic equations. This approach yields a double bracket structure in phase space which generates kinetic equations representing coadjoint motion under canonical transformations. The Vlasov example admits measure-valued single-particle solutions. Such solutions are reversible; and the total entropy is a Casimir, and thus is preserved.
[ { "version": "v1", "created": "Sat, 5 May 2007 20:56:30 GMT" }, { "version": "v2", "created": "Tue, 21 Aug 2007 01:02:49 GMT" } ]
2007-08-21T00:00:00
[ [ "Holm", "Darryl D.", "" ], [ "Putkaradze", "Vakhtang", "" ], [ "Tronci", "Cesare", "" ] ]
0705.0766
S Brendle
S. Brendle and R.M. Schoen
Manifolds with 1/4-pinched Curvature are Space Forms
Final version, to appear in J. Amer. Math. Soc
null
null
null
math.DG math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let (M,g_0) be a compact Riemannian manifold with pointwise 1/4-pinched sectional curvatures. We show that the Ricci flow deforms g_0 to a constant curvature metric. The proof uses the fact, also established in this paper, that positive isotropic curvature is preserved by the Ricci flow in all dimensions. We also rely on earlier work of Hamilton and of Bohm and Wilking.
[ { "version": "v1", "created": "Sun, 6 May 2007 02:18:55 GMT" }, { "version": "v2", "created": "Tue, 22 May 2007 17:56:02 GMT" }, { "version": "v3", "created": "Fri, 18 Jul 2008 17:51:03 GMT" } ]
2008-07-18T00:00:00
[ [ "Brendle", "S.", "" ], [ "Schoen", "R. M.", "" ] ]
0705.0767
Shun-Pei Miao
Shun-Pei Miao
The Quantum-Corrected Fermion Mode Function during Inflation
Ph.D. thesis
null
null
null
hep-th
null
My project computed the one loop fermion self-energy for massless Dirac + Einstein in the presence of a locally de Sitter background. I employed dimensional regularization and obtain a fully renormalized result by absorbing all divergences with Bogliubov, Parasiuk, Hepp and Zimmermann (BPHZ) counterterms. An interesting technical aspect of my computation was the need for a noninvariant counterterm, owing to the breaking of de Sitter invariance by our gauge condition. I also solved the effective Dirac equation for massless fermions during inflation in the simplest gauge, including all one loop corrections from quantum gravity. At late times the result for a spatial plane wave behaves as if the classical solution were subjected to a time-dependent field strength renormalization of Z_2(t) = 1 - 17(4 pi) *G H^2 *ln(a) + O(G^2). I showed that this also follows from making the Hartree approximation, although the numerical coefficients differ.
[ { "version": "v1", "created": "Sat, 5 May 2007 21:57:53 GMT" } ]
2007-05-23T00:00:00
[ [ "Miao", "Shun-Pei", "" ] ]
0705.0768
Jordan Bell
Leonhard Euler
A succinct method for investigating the sums of infinite series through differential formulae
8 pages
null
null
null
math.HO math.CA
null
Translation of "Methodus succincta summas serierum infinitarum per formulas differentiales investigandi" (1780). Euler wants to represent some given series of functions S(x)=X(x)+X(x+1)+X(x+2)+etc. in a different way. He writes S as a series in derivatives of X with unknown coefficients. He makes a generating function V(z) out of these coefficients, which is the same as a generating function that involves the Bernoulli numbers.
[ { "version": "v1", "created": "Sat, 5 May 2007 21:59:42 GMT" } ]
2007-05-23T00:00:00
[ [ "Euler", "Leonhard", "" ] ]
0705.0769
Jorge Cuadra
Jorge Cuadra (JILA; MPA), Sergei Nayakshin (Leicester), Fabrice Martins (MPE)
Variable accretion and emission from the stellar winds in the Galactic centre
MNRAS, accepted. 10 pages, 11 figures. PS version is better (Fig 11 gets blurred in PDF)
Mon.Not.Roy.Astron.Soc. 383 (2008) 458-466
10.1111/j.1365-2966.2007.12573.x
null
astro-ph
null
We present numerical simulations of stellar wind dynamics in the central parsec of the Galactic centre, studying in particular the accretion of gas on to Sgr A*, the super-massive black hole. Unlike our previous work, here we use state-of-the-art observational data on orbits and wind properties of individual wind-producing stars. Since wind velocities were revised upwards and non-zero eccentricities were considered, our new simulations show fewer clumps of cold gas and no conspicuous disc-like structure. The accretion rate is dominated by a few close `slow wind stars' v_w < 750 km/s, and is consistent with the Bondi estimate, but variable on time-scales of tens to hundreds of years. This variability is due to the stochastic in-fall of cold clumps of gas, as in earlier simulations, and to the eccentric orbits of stars. The present models fail to explain the high luminosity of Sgr A* a few hundred years ago implied by Integral observations, but we argue that the accretion of a cold clump with a small impact parameter could have caused it. Finally, we show the possibility of constraining the total mass-loss rate of the `slow wind stars' using near infra-red observations of gas in the central few arcseconds.
[ { "version": "v1", "created": "Sat, 5 May 2007 22:38:37 GMT" }, { "version": "v2", "created": "Wed, 10 Oct 2007 01:47:19 GMT" } ]
2009-03-08T00:00:00
[ [ "Cuadra", "Jorge", "", "JILA; MPA" ], [ "Nayakshin", "Sergei", "", "Leicester" ], [ "Martins", "Fabrice", "", "MPE" ] ]
0705.0770
Jinwu Ye
Jinwu Ye
Elementary excitations in a supersolid
4+ pages, 1 figures, REVTEX4. Final version published in Europhysics Letters
EPL 82 (2008) 16001
null
null
cond-mat.mtrl-sci
null
We study elementary low energy excitations inside a supersolid. We find that the coupling between the longitudinal lattice vibration mode and the superfluid mode leads to two longitudinal modes (one upper branch and one lower branch) inside the supersolid, while the transverse modes in the supersolid stay the same as those inside a normal solid. We also work out various experimental signatures of these novel elementary excitations by evaluating the Debye-Waller factor, density-density correlation, vortex loop-vertex loop interactions, specific heat and excess entropy from the vacancies per mole.
[ { "version": "v1", "created": "Sat, 5 May 2007 23:20:52 GMT" }, { "version": "v2", "created": "Tue, 12 Feb 2008 15:18:25 GMT" }, { "version": "v3", "created": "Thu, 21 Feb 2008 19:10:14 GMT" }, { "version": "v4", "created": "Thu, 28 Feb 2008 03:16:35 GMT" } ]
2008-03-15T00:00:00
[ [ "Ye", "Jinwu", "" ] ]
0705.0771
Mahir S. Hussein
L. C. Chamon, M. S. Hussein and L. F. Canto
Non-local effects on the heavy-ion fusion at sub-barrier energies
4 pages, 2 figures
Braz.J.Phys.37:1177-1180,2007
10.1590/S0103-97332007000700018
null
nucl-th
null
We investigate the effect of Pauli non-locality in the heavy-ion optical potential on sub-barrier fusion reactions. The S\~{a}o Paulo potential, which takes into account the Pauli non-locality and has been widely used in analyzing elastic scattering, has also recently been applied to heavy-ion fusion. However, the approximation employed in deriving the S\~{a}o Paulo potential, based on the Perey-Buck semi-classical treatment of neutron induced reactions, must be assessed for charged particles tunneling through a barrier. It is the purpose of this note to look into this question. We consider the widely studied system $^{16}$O + $^{208}$Pb at energies that span the barrier region from 10 MeV below to 10 MeV above. It seems that the non-locality plays a minor role. We find the S\~{a}o Paulo potential to be quite adequate throughout the region.
[ { "version": "v1", "created": "Sat, 5 May 2007 23:22:47 GMT" } ]
2011-08-04T00:00:00
[ [ "Chamon", "L. C.", "" ], [ "Hussein", "M. S.", "" ], [ "Canto", "L. F.", "" ] ]
0705.0772
Alexander Polishchuk
Alexander Polishchuk
Fourier-stable subrings in the Chow rings of abelian varieties
8 pages, in v.2 the order of the differential operator given by the product is computed exactly, v.3 minor typos corrected
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study subrings in the Chow ring $\CH^*(A)_{{\Bbb Q}}$ of an abelian variety $A$, stable under the Fourier transform with respect to an arbitrary polarization. We prove that by taking Pontryagin products of classes of dimension $\leq 1$ one gets such a subring. We also show how to construct finite-dimensional Fourier-stable subrings in $\CH^*(A)_{{\Bbb Q}}$. Another result concerns the relation between the Pontryagin product and the usual product on the $\CH^*(A)_{{\Bbb Q}}$. We prove that the operator of the usual product with a cycle is a differential operator with respect to the Pontryagin product and compute its order in terms of the Beauville's decomposition of $\CH^*(A)_{{\Bbb Q}}$.
[ { "version": "v1", "created": "Sat, 5 May 2007 23:39:57 GMT" }, { "version": "v2", "created": "Fri, 17 Aug 2007 18:16:57 GMT" }, { "version": "v3", "created": "Thu, 17 Jul 2008 06:37:25 GMT" } ]
2008-07-17T00:00:00
[ [ "Polishchuk", "Alexander", "" ] ]
0705.0773
Horacio M. Pastawski
Horacio M. Pastawski
Revisiting the Fermi Golden Rule: Quantum Dynamical Phase Transition as a Paradigm Shift
At the Frontiers of Condensed Matter III, inv. lecture Buenos Aires 2006. Physica B in press
null
10.1016/j.physb.2007.05.024
null
cond-mat.other
null
Classical and quantum phase transitions involve observables which are non-analytic as functions of a controlled thermodynamical variable. As occurs with the self-consistent Fermi Golden Rule, one condition to obtain the discontinuous behavior is the proper evaluation of a classical or quantum thermodynamic limit. We show that in presence of an environment, the oscillatory dynamics of a quantum two-level system, in analogy with a classical damped oscillator, can undergo a quantum dynamical phase transition to a non-oscillatory phase. This is obtained from a self-consistent solution of the Generalized Landauer Buettiker Equations, a simplified integral form of the Keldysh formalism. I argue that working at each side of the transition implies standing under different paradigms in the Kuhn's sense of the word. In consequence, paradigms incommensurability obtains a sound mathematical justification as a consequence of the non-analyticity of the observables. A strong case is made upon the need to deepen the public's intuition and understanding on the abrupt transition from static to dynamical friction regimes. Keywords: Self Consistent Fermi Golden Rule, Paradigm Shift, Quantum Dynamical Phase Transition, Decoherence, Energy-time Wigner Function, Dissipative Two-level system, Keldysh Formalisma, Generalized Landauer-Buettiker Equations, Loschmidt Echo, Mesoscopic Echo, Spin Dynamics, Solid State NMR, Dynamical Quantum Zeno Effect, Liquid Crystal NMR.
[ { "version": "v1", "created": "Mon, 7 May 2007 15:19:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Pastawski", "Horacio M.", "" ] ]
0705.0774
Christian Fr{\o}nsdal
Christian Fronsdal
Stability of Polytropes
Plain Tex, 26 pages, 6 figures
Phys.Rev.D77:104019,2008
10.1103/PhysRevD.77.104019
null
gr-qc astro-ph
null
This paper is an investigation of the stability of some ideal stars. It is in- tended as a study in General Relativity, with emphasis on the coupling to matter, eventually aimed at a better understanding of very strong gravitational fields and Black Holes. The work is based on an action principle for the complete system of metric and matter fields. We propose a complete revision of the treatment of boundary conditions. An ideal star in our terminology has spherical symmetry and an isentropic equation of state. In our first work on this subject it was assumed that the density vanishes beyond a finite distance from the origin. But it is difficult to decide what the proper boundary conditions should be and we are consequently skeptical of the concept of a fixed boundary. In this paper we investigate the double polytrope, characterized by a polytropic index n less than 5 in the bulk of the star and a value larger than 5 in an outer atmosphere that extends to infinity. It has no fixed boundary but a region of critical density where the polytropic index changes from a value that is appropriate for the bulk of the star to a value that provides a crude model for the atmosphere. The existence of a relation between mass and radius is confirmed, as well as an upper limit on the mass. The principal conclusion is that all the static configurations are stable.
[ { "version": "v1", "created": "Sun, 6 May 2007 01:28:06 GMT" } ]
2008-11-26T00:00:00
[ [ "Fronsdal", "Christian", "" ] ]
0705.0775
R. Vikram Pandya
R. V. R. Pandya
Clarifying Einstein's First Derivation for Mass-Energy Equivalence and Consequently Making Ives's Criticism a Void
7 pages
null
null
null
physics.hist-ph physics.gen-ph
null
We study physical situation considered by Einstein (Ann. Physik, 17, 1905) for his first derivation of mass-energy equivalence. Einstein introduced a constant $C$ in his derivation and reasoning surrounding $C$ and equations containing $C$ caused criticism by Ives. Here we clarify Einstein's derivation and obtain a value for constant $C$. The obtained zero value for $C$ suggests alternative explanation for Einstein's derivation and makes Ives's criticism a void and for which details are also presented in this paper.
[ { "version": "v1", "created": "Sun, 6 May 2007 01:41:29 GMT" } ]
2007-05-23T00:00:00
[ [ "Pandya", "R. V. R.", "" ] ]
0705.0776
Bernard Anderson II
Bernard A. Anderson
Relatively computably enumerable reals
5 pages. Significant changes from earlier version
Archive for Mathematical Logic, Volume 50, Number 3-4, May 2011, pp. 361-365
10.1007/s00153-010-0219-2
null
math.LO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A real X is defined to be relatively c.e. if there is a real Y such that X is c.e.(Y) and Y does not compute X. A real X is relatively simple and above if there is a real Y <_T X such that X is c.e.(Y) and there is no infinite subset Z of the complement of X such that Z is c.e.(Y). We prove that every nonempty Pi^0_1 class contains a member which is not relatively c.e. and that every 1-generic real is relatively simple and above.
[ { "version": "v1", "created": "Sun, 6 May 2007 01:59:43 GMT" }, { "version": "v2", "created": "Sat, 19 Jun 2010 19:40:36 GMT" } ]
2011-06-14T00:00:00
[ [ "Anderson", "Bernard A.", "" ] ]
0705.0777
Ying Xu
Vladimir Korepin and Ying Xu
Binary Quantum Search
22 pages, 3 tables
International Journal of Modern Physics B, Vol. 21, No. 31 (2007) 5187-5205
10.1117/12.717282
null
quant-ph
null
Database search has wide applications and is used as a subroutine in many important algorithms. We shall consider a database with one target item. Quantum algorithm finds the target item in a database faster than any classical algorithm. It frequently occurs in practice that only a portion of information about the target item is interesting, or we need to find a group of items sharing some common feature as the target item. This problem is in general formulated as search for a part of the database [a block] containing the target item, instead of the item itself. This is partial search. Partial search trades accuracy for speed, i.e. it works faster than a full search. Partial search algorithm was discovered by Grover and Radhakrishnan. We shall consider optimized version of the algorithm and call it GRK. It can be applied successively [in a sequence]. First the database is partitioned into blocks and we use GRK to find the target block. Then this target block is partitioned into sub-blocks and we use GRK again to find the target sub-block. [We can call it binary quantum search.] Another possibility is to partition the database into sub-blocks directly and use GRK to find the target sub-block in one time. In this paper we prove that the latter is faster [makes less queries to the oracle].
[ { "version": "v1", "created": "Sun, 6 May 2007 02:01:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Korepin", "Vladimir", "" ], [ "Xu", "Ying", "" ] ]
0705.0778
Scott Baldridge
Anar Akhmedov, Scott Baldridge, R. Inanc Baykur, Paul Kirk, B. Doug Park
Simply connected minimal symplectic 4-manifolds with signature less than --1
32 pages, 2 figures
null
null
null
math.GT math.SG
null
For each pair $(e,\sigma)$ of integers satisfying $2e+3\sigma\ge 0$, $\sigma\leq -2$, and $e+\sigma\equiv 0\pmod{4}$, with four exceptions, we construct a minimal, simply connected symplectic 4-manifold with Euler characteristic $e$ and signature $\sigma$. We also produce simply connected, minimal symplectic 4-manifolds with signature zero (resp. signature -1) with Euler characteristic $4k$ (resp. $4k+1$) for all $k\ge 46$ (resp. $k\ge 49$).
[ { "version": "v1", "created": "Sun, 6 May 2007 03:17:25 GMT" } ]
2007-05-23T00:00:00
[ [ "Akhmedov", "Anar", "" ], [ "Baldridge", "Scott", "" ], [ "Baykur", "R. Inanc", "" ], [ "Kirk", "Paul", "" ], [ "Park", "B. Doug", "" ] ]
0705.0779
Eva Y. Andrei
Xu Du, Guohong Li, Eva Y. Andrei, M. Greenblatt, P. Shuk
Ageing memory and glassiness of a driven vortex system
16 pages, 5 figures
Nature Physics, 3, 111 (2007)
10.1038/nphys512
null
cond-mat.supr-con
null
Many systems in nature, glasses, interfaces and fractures being some examples, cannot equilibrate with their environment, which gives rise to novel and surprising behaviour such as memory effects, ageing and nonlinear dynamics. Unlike their equilibrated counterparts, the dynamics of out-of- equilibrium systems is generally too complex to be captured by simple macroscopic laws. Here we investigate a system that straddles the boundary between glass and crystal: a Bragg glass formed by vortices in a superconductor. We find that the response to an applied force evolves according to a stretched exponential, with the exponent reflecting the deviation from equilibrium. After the force is removed, the system ages with time and its subsequent response time scales linearly with its age (simple ageing), meaning that older systems are slower than younger ones. We show that simple ageing can occur naturally in the presence of sufficient quenched disorder. Moreover, the hierarchical distribution of timescales, arising when chunks of loose vortices cannot move before trapped ones become dislodged, leads to a stretched-exponential response.
[ { "version": "v1", "created": "Sun, 6 May 2007 06:09:42 GMT" } ]
2015-05-13T00:00:00
[ [ "Du", "Xu", "" ], [ "Li", "Guohong", "" ], [ "Andrei", "Eva Y.", "" ], [ "Greenblatt", "M.", "" ], [ "Shuk", "P.", "" ] ]
0705.0780
Kenji Bekki dr
Kenji Bekki and Masashi Chiba
Massive stars and globular cluster formation
10 pages, 8 figures, accepted by ApJ
Astrophys.J.665:1164-1172,2007
10.1086/519727
null
astro-ph
null
We first present chemodynamical simulations to investigate how stellar winds of massive stars influence early dynamical and chemical evolution of forming globular clusters (GCs). In our numerical models, GCs form in turbulent,high-density giant molecular clouds (GMCs), which are embedded in a massive dark matter halo at high redshifts. We show how high-density, compact stellar systems are formed from GMCs influenced both by physical processes associated with star formation and by tidal fields of their host halos. We also show that chemical pollution of GC-forming GMCs by stellar winds from massive stars can result in star-to-star abundance inhomogeneities among light elements (e.g., C, N, and O) of stars in GCs. The present model with a canonical initial mass function (IMF) also shows a C-N anticorrelation that stars with smaller [C/Fe] have larger [N/Fe] in a GC. Although these results imply that ``self-pollution'' of GC-forming GMCs by stellar winds from massive stars can cause abundance inhomogeneities of GCs, the present models with different parameters and canonical IMFs can not show N-rich stars with [N/Fe] ~ 0.8 observed in some GCs (e.g., NGC 6752). We discuss this apparent failure in the context of massive star formation preceding low-mass one within GC-forming GMCs (``bimodal star formation scenario''). We also show that although almost all stars (~97%) show normal He abundances (Y) of ~0.24 some stars later formed in GMCs can have Y as high as ~0.3 in some models. The number fraction of He-rich stars with Y >0.26 is however found to be small (~10^-3) for most models.
[ { "version": "v1", "created": "Sun, 6 May 2007 05:56:18 GMT" } ]
2009-06-23T00:00:00
[ [ "Bekki", "Kenji", "" ], [ "Chiba", "Masashi", "" ] ]
0705.0781
Tshilidzi Marwala
Jonathan M.Spiller and T. Marwala
Medical Image Segmentation and Localization using Deformable Templates
4 pages
null
null
null
cs.CV
null
This paper presents deformable templates as a tool for segmentation and localization of biological structures in medical images. Structures are represented by a prototype template, combined with a parametric warp mapping used to deform the original shape. The localization procedure is achieved using a multi-stage, multi-resolution algorithm de-signed to reduce computational complexity and time. The algorithm initially identifies regions in the image most likely to contain the desired objects and then examines these regions at progressively increasing resolutions. The final stage of the algorithm involves warping the prototype template to match the localized objects. The algorithm is presented along with the results of four example applications using MRI, x-ray and ultrasound images.
[ { "version": "v1", "created": "Sun, 6 May 2007 06:02:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Spiller", "Jonathan M.", "" ], [ "Marwala", "T.", "" ] ]
0705.0782
David Gilbank
David G. Gilbank (1), H. K. C. Yee (1), E. Ellingson (2), M. D. Gladders (3), L. F. Barrientos (4) and K. Blindert (1) ((1) University of Toronto, (2) University of Colorado at Boulder, (3) University of Chicago, (4) Universidad Catolica de Chile)
Spectroscopy of moderately high-redshift RCS-1 clusters
AJ accepted. 30 pages, 7 figures (figure 5 reduced quality)
Astron.J.134:282-293,2007
10.1086/518561
null
astro-ph
null
We present spectroscopic observations of 11 moderately high-redshift (z~0.7- 1.0) clusters from the first Red-Sequence Cluster Survey (RCS-1). We find excellent agreement between the red-sequence estimated redshift and the spectroscopic redshift, with a scatter of 10% at z>0.7. At the high-redshift end (z>~0.9) of the sample, we find two of the systems selected are projections of pairs of comparably rich systems, with red-sequences too close to discriminate in (R-z') colour. In one of these systems, the two components are close enough to be physically associated. For a subsample of clusters with sufficient spectroscopic members, we examine the correlation between B_gcR (optical richness) and the dynamical mass inferred from the velocity dispersion. We find these measurements to be compatible, within the relatively large uncertainties, with the correlation established at lower redshift for the X-ray selected CNOC1 clusters and also for a lower redshift sample of RCS-1 clusters. Confirmation of this and calibration of the scatter in the relation will require larger samples of clusters at these and higher redshifts. [abridged]
[ { "version": "v1", "created": "Mon, 7 May 2007 15:56:15 GMT" } ]
2008-11-26T00:00:00
[ [ "Gilbank", "David G.", "" ], [ "Yee", "H. K. C.", "" ], [ "Ellingson", "E.", "" ], [ "Gladders", "M. D.", "" ], [ "Barrientos", "L. F.", "" ], [ "Blindert", "K.", "" ] ]
0705.0783
Stefano Buzzi
Stefano Buzzi, and H. Vincent Poor
Non-cooperative games for spreading code optimization, power control and receiver design in wireless data networks
appeared in the Proceedings of the 13th European Wireless Conference, Paris (France), April 2007
null
null
null
cs.IT cs.GT math.IT
null
This paper focuses on the issue of energy efficiency in wireless data networks through a game theoretic approach. The case considered is that in which each user is allowed to vary its transmit power, spreading code, and uplink receiver in order to maximize its own utility, which is here defined as the ratio of data throughput to transmit power. In particular, the case in which linear multiuser detectors are employed at the receiver is treated first, and, then, the more challenging case in which non-linear decision feedback multiuser receivers are adopted is addressed. It is shown that, for both receivers, the problem at hand of utility maximization can be regarded as a non-cooperative game, and it is proved that a unique Nash equilibrium point exists. Simulation results show that significant performance gains can be obtained through both non-linear processing and spreading code optimization; in particular, for systems with a number of users not larger than the processing gain, remarkable gains come from spreading code optimization, while, for overloaded systems, the largest gainscome from the use of non-linear processing. In every case, however, the non-cooperative games proposed here are shown to outperform competing alternatives.
[ { "version": "v1", "created": "Sun, 6 May 2007 06:49:07 GMT" } ]
2007-07-13T00:00:00
[ [ "Buzzi", "Stefano", "" ], [ "Poor", "H. Vincent", "" ] ]
0705.0784
Mishkatul Bhattacharya
M. Bhattacharya and P. Meystre
Using a Laguerre-Gaussian beam to trap and cool the rotational motion of a mirror
New cavity design, reworked title; to appear in Phys. Rev. Lett
null
10.1103/PhysRevLett.99.153603
null
quant-ph
null
We show theoretically that it is possible to trap and cool the rotational motion of a macroscopic mirror made of a perfectly reflecting spiral phase element using orbital angular momentum transfer from a Laguerre-Gaussian optical field. This technique offers a promising route to the placement of the rotor in its quantum mechanical ground state in the presence of thermal noise. It also opens up the possibility of simultaneously cooling a vibrational mode of the same mirror. Lastly, the proposed design may serve as a sensitive torsional balance in the quantum regime.
[ { "version": "v1", "created": "Sun, 6 May 2007 07:32:13 GMT" }, { "version": "v2", "created": "Sat, 22 Sep 2007 01:01:40 GMT" } ]
2015-05-13T00:00:00
[ [ "Bhattacharya", "M.", "" ], [ "Meystre", "P.", "" ] ]
0705.0785
Piotr Boronski
Piotr Boronski and Laurette S. Tuckerman
Poloidal-toroidal decomposition in a finite cylinder. II. Discretization, regularization and validation
null
Journal of Computational Physics 227, 1544-1566 (2007)
10.1016/j.jcp.2007.08.023
null
math.NA physics.comp-ph
null
The Navier-Stokes equations in a finite cylinder are written in terms of poloidal and toroidal potentials in order to impose incompressibility. Regularity of the solutions is ensured in several ways: First, the potentials are represented using a spectral basis which is analytic at the cylindrical axis. Second, the non-physical discontinuous boundary conditions at the cylindrical corners are smoothed using a polynomial approximation to a steep exponential profile. Third, the nonlinear term is evaluated in such a way as to eliminate singularities. The resulting pseudo-spectral code is tested using exact polynomial solutions and the spectral convergence of the coefficients is demonstrated. Our solutions are shown to agree with exact polynomial solutions and with previous axisymmetric calculations of vortex breakdown and of nonaxisymmetric calculations of onset of helical spirals. Parallelization by azimuthal wavenumber is shown to be highly effective.
[ { "version": "v1", "created": "Mon, 7 May 2007 19:17:53 GMT" } ]
2007-11-22T00:00:00
[ [ "Boronski", "Piotr", "" ], [ "Tuckerman", "Laurette S.", "" ] ]
0705.0786
Motohiko Ezawa
Motohiko Ezawa
Peculiar Band Gap Structure of Graphene Nanoribbons
8 pages, 7 figures: Presented at 14th International Conference on Superlattices, Nano-Structures and Nano-Devices, Istanbul, July 30-August 4 (2006); Cover picture of the proceeding
Physica Status Solidi (c) 4, No.2, 489 (2007)
10.1002/pssc.200790003 10.1002/pssc.200673205
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
Graphene nanoribbons are quasi-one-dimensional meterials with finite width. Characterizing a wide class of nanoribbons by edge shape and width, we make a systematic analysis of their electronic properties. The band gap structure of nanoribbons is shown to exhibit a valley structure with stream-like sequences of metallic or almost metallic nanoribbons. Among them, all zigzag nanoribbons are metallic, and armchair nanoribbons are metallic by period of 3. We find that these stream-like sequences correspond to equi-width curves, and that the band gap of chiral and armchair nanoribbons oscillate as a function of the width. Furthermore a possible application of nanoribbons to nanoelectronics is discussed.
[ { "version": "v1", "created": "Sun, 6 May 2007 08:55:09 GMT" } ]
2007-05-23T00:00:00
[ [ "Ezawa", "Motohiko", "" ] ]
0705.0787
Parvin Moyassari
Hadi Salehi, Parvin Moyassari, Reza Rashidi
On the gravitational coupling of Hadamard states
10 pages
null
null
null
gr-qc
null
We study the constraints imposed by the Hadamard condition on the two-point function of local states of a scalar quantum field conformally coupled to a gravitational background. We propose a method to assign a stress tensor to the state-dependent part of the two point function which arises as a conserved tensor with an anomalous trace. To characterize the local Hadamard states of physical interest we apply a super-selection rule relating this quantum stress tensor to the matter stress tensor of a conformal invariant gravitational model subject to a conformal symmetry breaking term. This implies that the determination of a Hadamard state may be considered as an integral part of its gravitational coupling via the back-reaction effect.
[ { "version": "v1", "created": "Sun, 6 May 2007 09:10:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Salehi", "Hadi", "" ], [ "Moyassari", "Parvin", "" ], [ "Rashidi", "Reza", "" ] ]
0705.0788
Christian Roos
C. F. Roos, T. Monz, K. Kim, M. Riebe, H. Haeffner, D. F. V. James, R. Blatt
Nonlinear coupling of continuous variables at the single quantum level
null
Phys. Rev. A 77, 040302(R) (2008)
10.1103/PhysRevA.77.040302
null
quant-ph
null
We experimentally investigate nonlinear couplings between vibrational modes of strings of cold ions stored in linear ion traps. The nonlinearity is caused by the ions' Coulomb interaction and gives rise to a Kerr-type interaction Hamiltonian H = n_r*n_s, where n_r,n_s are phonon number operators of two interacting vibrational modes. We precisely measure the resulting oscillation frequency shift and observe a collapse and revival of the contrast in a Ramsey experiment. Implications for ion trap experiments aiming at high-fidelity quantum gate operations are discussed.
[ { "version": "v1", "created": "Sun, 6 May 2007 10:24:59 GMT" } ]
2008-04-30T00:00:00
[ [ "Roos", "C. F.", "" ], [ "Monz", "T.", "" ], [ "Kim", "K.", "" ], [ "Riebe", "M.", "" ], [ "Haeffner", "H.", "" ], [ "James", "D. F. V.", "" ], [ "Blatt", "R.", "" ] ]
0705.0789
Parvin Moyassari
Parvin Moyassari
On the construction of the Hadamard sates in two dimensions
10 pages
null
null
null
gr-qc
null
The two dimensional analog of the Hadamard state condition is used to specify the local Hadamard states associated with a linear quantum field coupled to a two dimensional gravitational background. To characterize a local Hadamard state corresponding to a physical vacuum state, we apply a superselection rule in which the state dependent part of the two-point function is determined in terms of a dynamical scalar field. It implies a basic connection between the vacuum state and a scalar field coupled to gravity. We study the characteristics of the Hadamard vacuum state through this superselection rule using two different background metrics, the two dimensional analog of the schwarzschild and FRW metric.
[ { "version": "v1", "created": "Sun, 6 May 2007 09:26:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Moyassari", "Parvin", "" ] ]
0705.0790
Meng Chwan Tan
Meng-Chwan Tan
Two-Dimensional Twisted Sigma Models, the Mirror Chiral de Rham Complex, and Twisted Generalised Mirror Symmetry
97 pages. Companion paper to hep-th/0604179. Published version
JHEP 0707:013,2007
10.1088/1126-6708/2007/07/013
null
hep-th math.AG math.QA
null
In this paper, we study the perturbative aspects of a "B-twisted" two-dimensional $(0,2)$ heterotic sigma model on a holomorphic gauge bundle $\mathcal E$ over a complex, hermitian manifold $X$. We show that the model can be naturally described in terms of the mathematical theory of ``Chiral Differential Operators". In particular, the physical anomalies of the sigma model can be reinterpreted as an obstruction to a global definition of the associated sheaf of vertex superalgebras derived from the free conformal field theory describing the model locally on $X$. In addition, one can also obtain a novel understanding of the sigma model one-loop beta function solely in terms of holomorphic data. At the $(2,2)$ locus, one can describe the resulting half-twisted variant of the topological B-model in terms of a $\it{mirror}$ "Chiral de Rham complex" (or CDR) defined by Malikov et al. in \cite{GMS1}. Via mirror symmetry, one can also derive various conjectural expressions relating the sheaf cohomology of the mirror CDR to that of the original CDR on pairs of Calabi-Yau mirror manifolds. An analysis of the half-twisted model on a non-K\"ahler group manifold with torsion also allows one to draw conclusions about the corresponding sheaves of CDR (and its mirror) that are consistent with mathematically established results by Ben-Bassat in \cite{ben} on the mirror symmetry of generalised complex manifolds. These conclusions therefore suggest an interesting relevance of the sheaf of CDR in the recent study of generalised mirror symmetry.
[ { "version": "v1", "created": "Sun, 6 May 2007 10:24:56 GMT" }, { "version": "v2", "created": "Fri, 11 May 2007 16:41:05 GMT" }, { "version": "v3", "created": "Fri, 6 Jul 2007 01:41:02 GMT" } ]
2010-02-03T00:00:00
[ [ "Tan", "Meng-Chwan", "" ] ]
0705.0791
Zdenka Kuncic
Zdenka Kuncic and Geoffrey V. Bicknell
Towards a New Standard Model for Black Hole Accretion
To appear in the Fifth Stromlo Symposium Proceedings special issue of ApSS
Astrophys.Space Sci.311:127-135,2007
10.1007/s10509-007-9522-8
null
astro-ph
null
We briefly review recent developments in black hole accretion disk theory, emphasizing the vital role played by magnetohydrodynamic (MHD) stresses in transporting angular momentum. The apparent universality of accretion-related outflow phenomena is a strong indicator that large-scale MHD torques facilitate vertical transport of angular momentum. This leads to an enhanced overall rate of angular momentum transport and allows accretion of matter to proceed at an interesting rate. Furthermore, we argue that when vertical transport is important, the radial structure of the accretion disk is modified at small radii and this affects the disk emission spectrum. We present a simple model demonstrating how energetic, magnetically-driven outflows modify the emergent disk emission spectrum with respect to that predicted by standard accretion disk theory. A comparison of the predicted spectra against observations of quasar spectral energy distributions suggests that mass accretion rates inferred using the standard disk model may severely underestimate their true values.
[ { "version": "v1", "created": "Sun, 6 May 2007 09:39:23 GMT" } ]
2009-06-23T00:00:00
[ [ "Kuncic", "Zdenka", "" ], [ "Bicknell", "Geoffrey V.", "" ] ]
0705.0792
Kenji Fukushima
Kenji Fukushima (RBRC), Kei Iida (Kochi University)
Larkin-Ovchinnikov-Fulde-Ferrell state in two-color quark matter
10 pages, 8 figures
Phys.Rev.D76:054004,2007
10.1103/PhysRevD.76.054004
RBRC-672
hep-ph
null
We explore the phase structure of two-color and two-flavor QCD in the space of the quark chemical potential \mu_q and the isospin chemical potential \mu_I. Using a mean-field model we calculate the chiral and diquark condensates, \sigma and \Delta, self-consistently. In weak coupling and in the chiral limit, we confirm the interval of the isospin chemical potential, 0.71\Delta_0<\mu_I<0.75\Delta_0, in which a single plane-wave Larkin-Ovchinnikov-Fulde-Ferrell (LOFF) phase is favored over isotropic superfluidity and normal quark matter. The LOFF window becomes slightly wider at high density. For stronger coupling with nonzero quark mass, which is relevant to currently available numerical simulations in lattice two-color QCD, the single plane-wave LOFF phase appears only at sufficiently high density. The prediction obtained for the LOFF region could be tested with lattice since we can prove that the present system is free from the fermion sign problem. We draw the energy landscape on which local minima corresponding to the isotropic superfluid phase and the LOFF phase and a local maximum corresponding to the gapless phase are manifest. Our results clearly illustrate the path from the the unstable gapless phase down to the LOFF phase.
[ { "version": "v1", "created": "Sun, 6 May 2007 09:51:35 GMT" } ]
2008-11-26T00:00:00
[ [ "Fukushima", "Kenji", "", "RBRC" ], [ "Iida", "Kei", "", "Kochi University" ] ]
0705.0793
Tomaso Belloni
Tomaso Belloni (INAF-OAB), Jeroen Homan (MIT), Sara Motta (INAF-OAB, Univ. Milano Bicocca), Eva Ratti (INAF-OAB, Univ. Milano Bicocca), Mariano Mendez (SRON Utrecht, Univ. Amsterdam, Univ. Utrecht)
RossiXTE monitoring of 4U 1636-53: I. Long-term evolution and kHz Quasi-Periodic Oscillations
7 pages, 6 figures, accepted for publication on MNRAS
Mon.Not.Roy.Astron.Soc.379:247-252,2007
10.1111/j.1365-2966.2007.11943.x
null
astro-ph
null
We have monitored the atoll-type neutron star low-mass X-ray binary 4U 1636-53 with the Rossi X-Ray Timing Explorer (RXTE) for more than 1.5 years. Our campaign consisted of short (~2 ks) pointings separated by two days, regularly monitoring the spectral and timing properties of the source. During the campaign we observed a clear long-term oscillation with a period of ~30-40 days, already seen in the light curves from the RXTE All-Sky Monitor, which corresponded to regular transitions between the hard (island) and soft (banana) states. We detected kHz QPOs in about a third of the observations, most of which were in the soft (banana) state. The distribution of the frequencies of the peak identified as the lower kHz QPO is found to be different from that previously observed in an independent data set. This suggests that the kHz QPOs in the system shows no intrinsically preferred frequency.
[ { "version": "v1", "created": "Sun, 6 May 2007 09:54:40 GMT" } ]
2009-06-23T00:00:00
[ [ "Belloni", "Tomaso", "", "INAF-OAB" ], [ "Homan", "Jeroen", "", "MIT" ], [ "Motta", "Sara", "", "INAF-OAB,\n Univ. Milano Bicocca" ], [ "Ratti", "Eva", "", "INAF-OAB, Univ. Milano Bicocca" ], [ "Mendez", "Mariano", "", "SRON Utrecht, Univ. Amsterdam, Univ. Utrecht" ] ]
0705.0794
Gui-Jun Ding
Gui-Jun Ding, Mu-Lin Yan
Unparticle Physics in DIS
13 pages, 6 figures
Phys.Rev.D76:075005,2007
10.1103/PhysRevD.76.075005
null
hep-ph
null
The unparticle stuff scenario related to the notrivial IR fixed point in 4D-conformal field theory is recently suggested by Georgi. We illustrate its physical effects in Deep Inelastic Scattering (DIS) process. A possible signal of unparticle related to parity violation asymmetry in DIS is investigated. It is found out that the behavior of this parity violation signal is sensitive to the value of the scale dimension $d_{\cal U}$ of unpaticle.
[ { "version": "v1", "created": "Sun, 6 May 2007 09:55:06 GMT" }, { "version": "v2", "created": "Wed, 9 May 2007 17:40:26 GMT" }, { "version": "v3", "created": "Mon, 20 Aug 2007 17:34:21 GMT" } ]
2008-11-26T00:00:00
[ [ "Ding", "Gui-Jun", "" ], [ "Yan", "Mu-Lin", "" ] ]
0705.0795
Ruanyao Duan
Runyao Duan, Yuan Feng, Yu Xin, and Mingsheng Ying
Distinguishability of Quantum States by Separable Operations
9 pages (in IEEE TIT format), 1 eps figure. Need IEEE.cls. Missing Reference [18] added. A preliminary version was presented at AQIS 2007 as a long talk. Main results unchanged
IEEE Trans. Inform. Theory, vol.55, no.3, pp.1320-1330, Mar.(2009)
10.1109/TIT.2008.2011524
null
quant-ph
null
We study the distinguishability of multipartite quantum states by separable operations. We first present a necessary and sufficient condition for a finite set of orthogonal quantum states to be distinguishable by separable operations. An analytical version of this condition is derived for the case of $(D-1)$ pure states, where $D$ is the total dimension of the state space under consideration. A number of interesting consequences of this result are then carefully investigated. Remarkably, we show there exists a large class of $2\otimes 2$ separable operations not being realizable by local operations and classical communication. Before our work only a class of $3\otimes 3$ nonlocal separable operations was known [Bennett et al, Phys. Rev. A \textbf{59}, 1070 (1999)]. We also show that any basis of the orthogonal complement of a multipartite pure state is indistinguishable by separable operations if and only if this state cannot be a superposition of 1 or 2 orthogonal product states, i.e., has an orthogonal Schmidt number not less than 3, thus generalize the recent work about indistinguishable bipartite subspaces [Watrous, Phys. Rev. Lett. \textbf{95}, 080505 (2005)]. Notably, we obtain an explicit construction of indistinguishable subspaces of dimension 7 (or 6) by considering a composite quantum system consisting of two qutrits (resp. three qubits), which is slightly better than the previously known indistinguishable bipartite subspace with dimension 8.
[ { "version": "v1", "created": "Sun, 6 May 2007 10:21:39 GMT" }, { "version": "v2", "created": "Tue, 21 Aug 2007 13:21:50 GMT" }, { "version": "v3", "created": "Mon, 8 Oct 2007 08:53:28 GMT" } ]
2009-06-25T00:00:00
[ [ "Duan", "Runyao", "" ], [ "Feng", "Yuan", "" ], [ "Xin", "Yu", "" ], [ "Ying", "Mingsheng", "" ] ]
0705.0796
Petros Zimourtopoulos E
N. I. Yannopoulou and P. E. Zimourtopoulos
Total Differential Errors in Two-Port Network Analyser Measurements
Rejected (no reason) for publication in IET Electronics Letters - No changes in the paper since [v1] Sun, 6 May 2007 10:34:28 GMT (257kb): [v5] = [v4] = [v3] = [v2] = [v1]
FunkTechnikPlus # Journal, Issue 1 - Year 1, 30 September 2013, v4, 23-30, otoiser ftp#j
null
null
physics.class-ph physics.ins-det
http://creativecommons.org/licenses/by/3.0/
Since S-parameter measurements without uncertainty cannot claim any credibility, the uncertainties in full two-port Vector Network Analyser (VNA) measurements were estimated using total complex differentials (Total Differential Errors). To express precisely a comparison relation between complex differential errors, their differential error regions (DERs) were used. To demonstrate the method in the most accurate case of a direct zero-length thru, practical results are presented for commonly used Z-parameters of a simple, two-port, DC resistive T-network, which was built and tested against frequency with a VNA measurement system extended by two lengthy transmission lines.
[ { "version": "v1", "created": "Sun, 6 May 2007 10:34:28 GMT" }, { "version": "v2", "created": "Sat, 22 Sep 2007 08:01:05 GMT" }, { "version": "v3", "created": "Thu, 17 Mar 2011 17:38:20 GMT" }, { "version": "v4", "created": "Sun, 20 Mar 2011 08:51:25 GMT" }, { "version": "v5", "created": "Wed, 17 Oct 2012 09:07:41 GMT" } ]
2015-06-03T00:00:00
[ [ "Yannopoulou", "N. I.", "" ], [ "Zimourtopoulos", "P. E.", "" ] ]
0705.0797
Francesco Mainardi
Rudolf Gorenflo and Francesco Mainardi
Continuous time random walk, Mittag-Leffler waiting time and fractional diffusion: mathematical aspects
36 pages, 3 figures (5 files eps). Invited lecture by R. Gorenflo at the 373. WE-Heraeus-Seminar on Anomalous Transport: Experimental Results and Theoretical Challenges, Physikzentrum Bad-Honnef (Germany), 12-16 July 2006; Chairmen: R. Klages, G. Radons and I.M. Sokolov
"Anomalous Transport: Foundations and Applications", edited by R. Klages, G. Radons and I.M Sokolov, as Chapter 4, pp. 93-127,WILEY-VCH, Weinheim, Germany (2008) [ISBN 978-3-5277-40722-4]
null
null
cond-mat.stat-mech cond-mat.dis-nn math-ph math.MP
null
We show the asymptotic long-time equivalence of a generic power law waiting time distribution to the Mittag-Leffler waiting time distribution, characteristic for a time fractional CTRW. This asymptotic equivalence is effected by a combination of "rescaling" time and "respeeding" the relevant renewal process followed by a passage to a limit for which we need a suitable relation between the parameters of rescaling and respeeding. Turning our attention to spatially 1-D CTRWs with a generic power law jump distribution, "rescaling" space can be interpreted as a second kind of "respeeding" which then, again under a proper relation between the relevant parameters leads in the limit to the space-time fractional diffusion equation. Finally, we treat the `time fractional drift" process as a properly scaled limit of the counting number of a Mittag-Leffler renewal process.
[ { "version": "v1", "created": "Sun, 6 May 2007 10:38:26 GMT" }, { "version": "v2", "created": "Mon, 12 May 2008 14:31:10 GMT" } ]
2008-05-18T00:00:00
[ [ "Gorenflo", "Rudolf", "" ], [ "Mainardi", "Francesco", "" ] ]