hep-ph

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Title: Landau-Zener problem in a three-level neutrino system with non-linear time dependence

Abstract: We consider the level-crossing problem in a three-level system with non-linearly time-varying Hamiltonian (time-dependence $t^{-3}$). We study the validity of the so-called independent crossing approximation in the Landau-Zener model by making comparison with results obtained numerically in density matrix approach. We also demonstrate the failure of the so-called "nearest zero" approximation of the Landau-Zener level-crossing probability integral.
 Comments: 11 pages, 3 figures. To be published in Physical Review D Subjects: High Energy Physics - Phenomenology (hep-ph); Astrophysics (astro-ph); Quantum Physics (quant-ph) Journal reference: Phys.Rev.D75:033006,2007 DOI: 10.1103/PhysRevD.75.033006 Cite as: arXiv:hep-ph/0611037 (or arXiv:hep-ph/0611037v2 for this version)

Submission history

From: Janne Riittinen [view email]
[v1] Fri, 3 Nov 2006 07:38:42 GMT (19kb)
[v2] Thu, 1 Feb 2007 13:12:04 GMT (19kb)

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