
eliot echu. laib

oru american ganitha bhauthikashaasthranjanum stattistikkal mechanics, contensed maattar thiyari, functional analysis ennivayil vaidagdhyamulla prinsettan sarvakalaashaalayile ganithashaasthra, bhauthikashaasthra professorumaanu eliot hershell laib (jananam juulai 31,1932).
bhauthikashaasthrathilum ganithathilum 400-ladhikam prasidheekaranangalulla oru mikacha ezhuthukaaranaanu laib. 
prathyekichum, addehathinte shaasthreeya kruthikal kwaandam, classical multy body prashnam, aattomik ghadana, dravyathinte sthiratha, pravartthana asamathvangal, kaanthikathayude sidhaantham, hubbard model ennivayumaayi bandhappettirikkunnu.
jeevacharitram.
addehathinu bii labhichu.ezz. 1953ll masaachyusets instittyoott oof teknolajiyil ninnu bhauthikashaasthrathil birudaananthara birudavum 1956ll englandile birmingham sarvakalashaalayil ninnu ganithashaasthra bhauthikashaasthrathil phd nediya leab, jappaanile kyotto sarvakalashaalayil (1956-1957) oru mikacha fello aayirunnu, 1960 muthal 1963 vare ibminte staaf saidhaanthika bhauthikashaasthranjanaayi pravarthichu. 1961-1962 ll, leab siera liyon sarvakalaashaalayile phora bay collegil uplied mathematics professoraayi avadhiyilaayirunnu. mittile professor padaviyil ninnu avadhi edutha sesham 1975 muthal addeham prinsettanil professoraanu.
saha prinsettan professoraaya kristyan felbaamineyaanu addeham vivaham kazhichathu.
varshangalayi, thante gaveshana lekhanangalude pakarppavakasham academic prasaadhakarkk kaimarunna staanderd reethi addeham nirasichu. pakaram, prasidheekarikkaan addeham prasaadhakarkk thante sammatham maathrame nalkoo.
avaardukal.
american physical sosaitiyudeyum american instittyoott oof physixinteyum (1978) ganithashaasthra bhauthikashaasthrathinulla heineman sammanam, jarmman physical sosaittiyude maiks plank medel (1992), internaashanal union oof pyoor aandu uplied physixinte boltsman medel (1998), scock prais (2001), internaashanal association oof maathamaattikkal physixinte (2003) henry poincare sammanam, ervin shroadinger instittyoott phoor mathematics aandu physics (2021) enniva ulppede ganithashaasthrathilum bhauthikashaasthrathilum niravadhi sammanangal leebinu labhichittund.
2022-ll american physical sosaittiyil ninnulla gaveshanathile asaadhaaranamaaya nettatthinulla medel addehathinu labhichu, 'ghaneebhavicha dravya bhauthikashaasthram, kwaandam vivarangal, stattistikkal mechanics, aattomik physics ennivaye baadhicha pradhana bhauthika prashnangalkk krithyamaaya pariharangal nedunnathiloode saidhaanthika bhauthikashaasthrathinu nalkia pradhana sambhaavanakalkk'.
kwaandam mechanics, stattistikkal mechanics, computational kemistry, kwaandam information thiyari ennee mekhalakale roopappeduthiya asaadhaaranamaaya aazhathilulla ganithashaasthra sambhaavanakalkk ganithashaasthranjarude anthaaraashtra kongrasil kaal friedrich gass sammaanavum.2022-ll joyal lebovits, david rooyil ennivarumaayi samyukthamaayi aii. sii. tii. piyude dirac medel addehathinu labhichu. 
yuu. esile amgamaanu laib.ezz. naashanal akkadami oof sciences, rund thavana (1982-1984,1997-1999) internaashanal association oof maathamaattikkal physixinte presidentaayi sevanamanushtichittundu. 2002ll sayansinum kalaykkum vendiyulla austriyan bahumati leebinu labhichu. 2012ll addeham american maathamaattikkal sosaittiyude fello 2013ll royal sosaittiyile videsha amgavumaayi.
2023ll niravadhi shareera bhauthikashaasthrathile nettangalkku adisthaana shaasthrathile kyotto sammanam addehathinu labhichu.
jolie cheiyunnu.
saidhaanthika bhauthikashaasthrathilum ganithathilum laib adisthaanaparamaaya sambhavanakal nalkiyittundu. avayil chilath maathramaan ivide vivarichirikkunnath. addehathinte pradhana gaveshana prabandhangal thiranjeduttha naalu vaalyangalayi shekharichirikkunnu. addehathinte 90-aamm janmadinathodanubandhichu 2022-ll iii. emm. ezz pras prasidheekaricha rund pusthakangalilum kooduthal vishadaamshangal kaanam. addehathinte gaveshanam 50-ladhikam adhyayangalil avide avalokanam cheyyappettittund.
stattistikkal mechanics, layikkunna samvidaanangal.
prathyekichum layikkunna samvidaanangalekkurichulla stattistikkal mechanicsile niravadhi supradhana falangalkku laib prashasthamaan. addehathinte niravadhi kruthikal selecta 'stattistikkal mechanics', 'contensed maattar physics', krithyamaayi layikkunna modalukal 'ennivayilum daniel mattisumaayulla oru pusthakatthilum shekharichittundu. avar (mattu karyangalkkoppam) icing-type modalukal, pheromagnettisathinum ferro electriciticumulla modalukal, rund alavukalilulla six-vertex modalinte krithyamaaya pariharam, oru dimensional deltta booas vaathakam (ippol laib-liniger model ennu vilikkunnu), hubbard model ennivaye chikilsikkunnu.
daniel maattis, theodor shults ennivarumaayi chernnu 1964-ll dvimaana icing model (transfer maatriksukalude jordan-wigner parivartthanatthiloode larse oonsaagar krithyamaaya parihaaratthinte puthiya derivation), 1961-ll xy model, vyakthamaayi pariharikkaavunna ekamaana spin-1/2 model enniva addeham pariharichu. 1968ll phaa-yuye vuu enna kambaniyumaayi chernnu addeham ekamaana hubbard modalinte krithyamaaya pariharam nalki.
1971ll adhehavum nevil temperly chernnu chila transfer maatrikkukal nirmmikkunnathinayi temperly-leab beejaganitam avatharippichu. eee beejaganithathinu nottu sidhaanthavum vezhaambal group, kwaandam grouppukalum, voonn neuman aalgebrakalude upavibhagangalumaayi bandhamund.
derek dablyu. 1972ll robinson praadeshika edapedalukalulla aapekshikamallaatha spin sisttangalile vivarangalude prachaarana vegathaykku paridhi nischayichu. avaa laib-robinson boundukal ennariyappedukayum udaaharanathinu, thermodynamic paridhiyilo kwaandam computingilo pishak boundukalil oru pradhana punk vahikkukayum cheiyunnu. spin sisttangalile paraspara bandhangalude exponential kshayam theliyikkaano uyarnna alavilulla spin sisttangalil (saamaanyavalkkaricha laib-shults-maattis sidhaanthangal) graundu stettinu mukalilulla vidavinekkurichu avakaashavaadangal unnayikkaano avaa upayogikkaam.
1972ll adhehavum merii beth ruskaiyum kwaandam vivara sidhaanthathinte adisthaana sidhaanthamaaya kwaandam entropy sakthamaaya upadittivitti theliyichu. kwaandam vivara sidhaanthathile dattaa prosessing asamathvam ennariyappedunnavayumaayi ithu adutha bandhamullathaan. wigner-yanes-daisan anumaanam ulppede oopparettar asamathvangalekkurichulla niravadhi pradhana anumanangal pariharicha oru muun pepparine adisthaanamaakkiyullathaanu sakthamaaya sub adittivittiyude laib-ruskay thelivu.
varshangalil 1997-99, thermodynamicsinte randaam niyamathile entropy vardhanavineyum jacob yangvaasanumaayulla adiabatic praveshanakshamathayeyum kurichu laib karsanamaaya chikitsa nalki.
pala shareerangalude kwaandam samvidaanangalum dravyathinte sthirathayum.
1975ll libe walter thiring 1967ll freeman dieson andrew lenard nadathiyathinekkaal hraswavum sangalppaparavumaaya dravyathinte sthirathayude oru thelivu kandethi. avarude vaadam spectral sidhaanthathile oru puthiya asamathvathe adisthaanamaakkiyullathaanu, athu laib-thiring asamathvam ennariyappettu. randaamathethu valia fermionic sistangalekkurichulla padanatthil oru saadhaarana upakaranamaayi mariyirikkunnu, udha.jii. classical allengil quantised vaidyuthakaanthika mandalangalumayi edapedunna (suedo-) aapekshika fermionukalkku. ganithashaasthra vashath, laib-thiring asamathvam shroadinger oopparettarmaarude spectral sidhaanthathil valia thaalparyam srishtichu. eee phalapradamaaya gaveshana paripadi addehathinte thiranjeduttha 'dravyathinte sthiratha aattangalil ninnu nakshathrangalilekkulla' enna pusthakatthilum roobert seeringarinoppam 'kwaandam mechanicsile dravyathinte sthiratha' enna pusthakatthilum vaayikkaan kazhiyunna niravadhi pradhana phalangalilekku nayichu.
dravyathinte sthirathayude yadhaartha daisoon-lenard sidhaanthathe adisthaanamaakki, laib joyal lebovitsinoppam 1973ll kwaandam dravyathinte thermodynamic functionukalude asthithvathinte aadya thelivu nalkiyirunnu. hyde narnhopherinoppam addeham jeliyathinum ithu cheythu, ithu homogeneous electron vaathakam ennum ariyappedunnu, ithu saandrata pravartthana sidhaanthathile mikka pravarthanangaludeyum adisthaanathilaanu.
1970kalil, laib baari saimanumaayi chernnu multy-body shroadinger samavaakyathinte niravadhi nonleeniyar ekadesha kanakkukal, prathyekichu hartree-phokku sidhaantham, aattangalude thomas-fermi model enniva padichu. valia aapekshikamallaatha aattangalkk oorjjathinte pradhana kramam randaamathethu nalkunnuvennathinu avar aadyathe karsanamaaya thelivu nalki. raffel benguria, heyim brezis ennivarodoppam addeham thomas-fermi modalinte niravadhi vyathiyanangal padichu.
ganithashaasthra bhauthikashaasthrathile ionization prashnam oru nischitha nuclear charjullah oru aattathin bandhippikkaan kazhiyunna electronukalude ennathil karsanamaaya upper boundu aavashyappedunnu. pareekshanathmakavum samkhyaaparavumaaya thelivukal soochippikkunnathu paramavadhi onno rando adhika electronukal undakam ennaanu. ithu karsanamaayi theliyikkunnathu oru thuranna prasnamaanu. thanmathrakalekkurichu samanamaaya oru chodyam chodikkaam. oru nucleusinu bandhippikkaan kazhiyunna electronukalude ennathil laib oru prashasthamaaya upper boundu aanennu thelinju. koodaathe, israel maikkal sigal, baari saiman, walter tring ennivarumaayi chernnu, aanava charjumaayi thaarathamyappeduthumbol adhika charge lakshanangalillaatha reethiyil cheruthaanennu addeham aadyamaayi theliyichu.
jacob yangvaasanumaayi chernnu, nerppicha booas vaathakangalude bhoosthira oorjjathinu oru soothravaakyathinte karsanamaaya thelivu addeham nalki. pinneedu, roobert seeringarumaayum jacob yangvaasanumaayum chernnu addeham oru keniyil nerppicha bosonukalude bhoosthira oorjjathinaayulla motham-pitaavski samavaakyam padichu, ithu niravadhi body kwaandam mechanicsil ninnu aarambhichu. joseph konloon, hong-serr yoo ennivarumaayulla laibinte kruthikalum bosonukalude formula _ 1 niyamam ennariyappedunna jaann philipp solovejumaayulla kruthikalum bogoliyubovinte jodiyaakkal sidhaanthathinte aadya karsanamaaya nyaayeekaranam nalkunnu.
kwaandam rasathanthrathil laib 1983 ll convex vishakalana upakaranangal upayogichu saandrata pravartthana sidhaanthathinte aadyathe karsanamaaya roopeekaranam nalkiyathil prashasthamaan. saarvathrika laib functional mishraavasthakalkku oru nischitha saandrata profile ulla coolomb sisttathinte ettavum kuranja oorjjam nalkunnu. 1980-ll steefan ooksfordumaayi chernnu addeham sthira saandrathayil saadhyamaaya ettavum kuranja classical coolomb oorjjathekkurichu oru kanakk nalkunna laib-ooksfoord asamathvam theliyichu, pinneedu pbe, scan thudangiya chila pravartthanangalude kaalibreshanaayi ithu upayogichu. aduthide, maathyoo levinum roobert seeringarumoth addeham pathukke vyathyaasappedunna saandrathaykku praadeshika saandrata ekadeshathekkurichulla aadyathe karsanamaaya nyaayeekaranam nalki.
vishakalanam.
70kalil leab vyathiyaanangalude calculasinteyum bhagika deferential samavaakyangaludeyum ganithashaasthra mekhalakalil praveshichu, avide addeham adisthaana sambhavanakal nalki. pravartthana vishakalanathinte niravadhi asamathvangalil mikacha sthiraangangalude anweshanamaayirunnu oru pradhana vishayam, athu pinneedu nonleeniyar kwaandam sisttangale karsanamaayi padikkaan addeham upayogichu. eee dishayilulla addehathinte phalangal thiranjeduttha "" "asamathvangalil" "shekharichirikkunnu". addeham moorchayulla sthiraangangal nirnnayicha asamathvangalil yuvaakkalude asamathvavum hardy-littilwood-sobolive asamathvavum chuvade kooduthal charcha cheyyappedum. ippol vishakalanathil staanderdaayi kanakkaakkappedunna upakaranangalaya punakrameekarana asamathvangal allengil mikkavarum ellaayidathum othucherunna functionukalude seekwansukalkkaayi faattooyude lemmayil nashtappetta padam nalkunna brezis-leab lemma ennivayum addeham vikasippichu.
herm brascamp jokwin luttinger upayogichu 1974-ll addeham rais punakrameekarana asamathvathinte saamaanyavalkkaranam theliyichu, ellah functionukalum avayude samamiti kurayunna punakrameekaranathaal maattisthaapikkumbol chila multilenear integralukal vardhikkunnuvennu prasthaavichu. frederic aalmgrenumaayi chernnu addeham punakrameekaranatthinte thudarchayude gunangal vyakthamakki. chila nonleeniyar modalukalkk parihaarangalude nilanilpp theliyikkaan palappozhum punakrameekaranam upayogikkunnu.
rund prabandhangalil (onnu 1976ll herm brascamp mattonn 1990ll maathram), laib, holderude asamathvam, yuvaakkalude asamathvam, lumi-vitni asamathvam enniva saamaanyavalkkarikkunna asamathvangalude oru muzhuvan kudumbatthinteyum saadhuthayum mikacha sthirathakalum nirnnayichu. ithu ippol brascamp-leab asamathvam ennariyappedunnu. ellah pravartthanangalum gausiyans aayirikkunna saahacharyamaan ettavum mikacha sthiraangam nirnnayikkunnath ennathaanu aathmaav. udaaharanathinu, harmonic vishakalanathil brascamp-leab asamathvam prayogangalum vipuleekaranangalum kandethi.
punakrameekarana asamathvangalum othukkamulla reethikalum upayogichu, 1983-ll hardy-littilwood-sobolive asamathvathinum sobolive asamathvathinum opttimaisarukalude nilanilpp laib theliyichu. chila sandarbhangalil addeham ettavum mikacha sthiraangam nirnnayikkukayum, prashnatthinte anuroopamaaya vyathiyaanam kandethukayum chooshanam cheyyukayum stereographic projection vazhi athine golatthile anuroopamaaya, ennaal kooduthal kaikaaryam cheyyaavunna prashnavumaayi bandhappeduthukayum cheythu. heisenberg grouppinte cases kaikaaryam cheyyaan anuvadikkunna rupert frank upayogichu oru puthiya punakrameekarana rahita thelivu pinneedu nalki.
1977-leeii oru kruthiyil addeham chockward-pecker samavaakyathinte bhoosthiraavasthayude prathyekatha (samamiti vare) theliyichu, ithu shroadinger-nyoottan samavaakyam ennum ariyappedunnu, ithu oru svayam guruthwaakarshana vasthuvine allengil dhruveekarikkaavunna maadhyamathil (poloron) neengunna oru electronine vivarikkan kazhiyum. laurence thomasinoppam 1997-ll addeham kwaandam feeld sidhaanthathile (frolich hamiltonian) oru maathrkayil ninnu chockward-pecker samavaakyathinte oru vyathiyanaparamaaya vyulppannam nalki. moonroo donskar srinivasa varadhan oru probabilistik paathu integral reethi upayogichu ithu neratthe pariharichirunnu.
1976-ll herm braskaambumaayulla mattoru kruthiyil, laib precopa-lindler asamathvam mattu tharatthilulla rund positteev functionukalude convex kombineshanukalilekku vyapippichu. avashya kootticherkkal enna ashayam avatharippichu addeham asamathvatheyum brann-minkovsky asamathvatheyum shakthippeduthi.
frederic alngren, heyim bressis, jeane-maikkal corona ennivayumaayi harmonic maappukalekkurichu laib swaadheenamulla prabandhangalum ezhuthi. prathyekichu, harmonic maappukal kuraykkunna oorjjathinte ekathvangalude ennathil algrem libe oru paridhi theliyichu.
avasaanamaayi, maikkal nashtathodukoodiya addehathinte paatapusthakamaaya 'analysis' paraamarsikkanam.
ganithashaasthra vishakalanathile biruda kozhsukalude oru maanadandamaayi ithu maari. prayogangal lakshyamit vishakalanathinte ellah parambaraagatha upakaranangalum samkshipthavum avabodhajanyavumaaya roopathil ithu vikasippikkunnu.
prasidheekarana pattika (bhaagikamaayi).
matoraal.
valare vishalamaaya vishayangalil addeham cheluthiya swaadheenathekkurichum athinte falamaayundaaya sambhavavikasangalekkurichum 50 oolam adhyayangal ulkkollunna eee rund pusthakangalaanu leebinte 90-aamm janmadinathodanubandhichu ems pras prasidheekarichathu. niravadhi sambhavanakal oru exposury swabhaavamullavayaanu, athinaal vidagtharallaathavarkku ithu labhyamaan.

