Interpolated Lattice Gauge Fields and Chiral Fermions in the Schwinger Model
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arXiv:hep-ph/9212266v1 16 Dec 1992SLAC–PUB–6017WIS–92/99/Dec–PHDecember1992T/E
TheSubleadingIsgur-WiseFormFactorχ3(v·v′)
toOrderαsinQCDSumRules
MatthiasNeubert
StanfordLinearAcceleratorCenter
StanfordUniversity,Stanford,California94309
ZoltanLigetiandYosefNir
WeizmannInstituteofScience
PhysicsDepartment,Rehovot76100,Israel
WecalculatethecontributionsarisingatorderαsintheQCDsumruleforthe
spin-symmetryviolatinguniversalfunctionχ3(v·v′),whichappearsatorder1/mQin
theheavyquarkexpansionofmesonformfactors.Inparticular,wederivethetwo-
loopperturbativecontributiontothesumrule.Overthekinematicrangeaccessible
inB→D(∗)ℓνdecays,wefindthatχ3(v·v′)doesnotexceedthelevelof∼1%,
indicatingthatpowercorrectionsinducedbythechromo-magneticoperatorinthe
heavyquarkexpansionaresmall.
(submittedtoPhysicalReviewD)
1I.INTRODUCTION
Intheheavyquarkeffectivetheory(HQET),thehadronicmatrixelementsdescribing
用基础量子力学解释氢原子
四川师范大学本科毕业论文
用基本量子力学解释氢原子
——量子力学与氢原子的相遇相知相交
学生姓名黄兰
院系名称物理与电子工程学院
专业名称物理学
班级2008级 2 班
学号2008070219
指导教师侯邦品
四川师范大学教务处
二○一二年五月
用基本量子力学解释氢原子
本科生:黄兰指导老师:侯邦品
内容摘要:
主要从以下几个方面来运用基本量子力学解释氢原子。1、氢原子的能级和能量本征函数。首先介绍在量子力学中的波函数,再利用薛定谔方程来导出氢原子的能量本征函数,最后再分析它的物理含义。2、氢原子的四个量子数的物理意义。解释它们其与氢原子的能级的关系。3、径向波函数和角度波函数。主要是得出径向波函数和角度波函数同时给出它的物理意义。4、简并性破除与量子激光。氢原子的内部结构中电子在原子中受到的磁场的作用所产生的正常塞曼效应和反常塞曼效应,以及可能引起的电子跃迁。5、氢原子的Stark效应。氢原子在外场的作用下表现的Stark 效应,这部分将作简单的介绍。
关键词:量子量子力学氢原子 stark效应Schr?dinger方程
Using quantum mechanics to explain the physical
phenomena in hydrogen atoms
Abstract:
we shall use quantum mechanics to explain the physical phenomena in the hydrogen atoms as follows: 1, the energy
eigenfunctions for hydrogen are obtained after introducing the
wave function in quantum mechanics . 2 , physical significance of
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at/0207582v1 [cond-mat.str-el] 24 Jul 2002Current-currentcorrelationsinamodelCuO3system
BhargaviSrinivasanandMarie-BernadetteLepetit
LaboratoiredePhysiqueQuantique,UMR5626duCNRS,Universit´ePaulSabatier,F-31062ToulouseCedex4,France(February1,2008)
Westudya3-bandextendedHubbardmodelonaCuO3systembythedensitymatrixrenormal-izationgroup(DMRG)method.OursystemhasgeometrysimilartothatofasectionoftheCuO2planeofthecopper-oxidesuperconductors.Wehavestudiedtheeffectsofnearest-neighbourrepul-sionsonthecurrent-currentcorrelationsoftwomodelCuO3systems.Wehavecalculatedseveraltypesofstaggeredcurrentcorrelationsasafunctionofvariousmodelparameterssuchasinterac-tionstrengthsandfilling.Weshowthatrepulsiveinteractionsareclearlycapableofincreasingthemagnitudeofthecurrent-currentcorrelationsinbothmodelsstudied.Thelong-distancebehaviorofthecurrent-currentcorrelationsisqualitativelyinfluencedbyV.Weshowthatrepulsiveinterac-tionsarecapableofenhancingcorrelationsinvolvingatleastonecopper-oxygenrungoverdistancescomparabletothelengthofthesystem.Insomecases,Vdecreasestheexponentcorrespondingtothepower-lawdecay,leadingtoaconsiderableslowingdownofthelong-distancedecayofthecurrent-currentcorrelations,comparedtothatoftheHubbardmodel.
PHYSICALREVIEWB94,241110(R)(2016)
HubbardbandversusoxygenvacancystatesinthecorrelatedelectronmetalSrVO3
S.Backes,1T.C.R¨odel,2,3F.Fortuna,2E.Frantzeskakis,2P.LeF`evre,3F.Bertran,3M.Kobayashi,4R.Yukawa,4
T.Mitsuhashi,4M.Kitamura,4K.Horiba,4H.Kumigashira,4R.Saint-Martin,5A.Fouchet,6B.Berini,6Y.Dumont,6
A.J.Kim,1F.Lechermann,7,8H.O.Jeschke,1M.J.Rozenberg,9R.Valent´ı,1,*andA.F.Santander-Syro2,†
1Institutf¨urTheoretischePhysik,Goethe-Universit¨atFrankfurt,Max-von-Laue-Strasse1,60438FrankfurtamMain,Germany2CSNSM,Univ.Paris-Sud,CNRS/IN2P3,Universit´eParis-Saclay,91405OrsayCedex,France3SynchrotronSOLEIL,L’OrmedesMerisiers,Saint-Aubin-BP48,91192Gif-sur-Yvette,France4PhotonFactory,InstituteofMaterialsStructureScience,HighEnergyAcceleratorResearchOrganization(KEK),
1-1Oho,Tsukuba305-0801,Japan5SP2M-ICMMO-UMR-CNRS8182Universit´eParis-Sud,Universit´eParis-Saclay,91405OrsayCedex,France6GEMaC,Universit´edeVersaillesSt.QuentinenY.-CNRS,Universit´eParis-Saclay,Versailles,France7Institutf¨urTheoretischePhysik,Universit¨atHamburg,Jungiusstrasse9,20355Hamburg,Germany8Institutf¨urKeramischeHochleistungswerkstoffe,TUHamburg-Harburg,D-21073Hamburg,Germany9LaboratoiredePhysiquedesSolides,CNRS,Univ.Paris-Sud,Universit´eParis-Saclay,91405OrsayCedex,France