物理经典教材：玻色化和强关联系统（影印版）

图书标准信息

• 作者 [英]高戈林 著
• 出版社 世界图书出版公司
• 出版时间 2010-04
• 版次 1
• ISBN 9787510005589
• 定价 69.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 422页
• 正文语种 简体中文，英语

【内容简介】

　　Technicalaspectsofbosonization、AsimplecaseofBose-Fermiequivalence：Jordan-Wigner、Transformation、One-dimensionalfermionStatesneartheFermipoints、Chiralanomaly、Anomalouscommutators、Ganssianmodel.Lagrangianformulation、Bosonization、Interactionwithanelectromagneticfield;gaugeinvariance、Conformalsymmetryandfinitesizeeffects、GaussianmodelintheHamiltonianformulation、Virasoroalgebra、Wardidentities等等。

【目录】

Preface
Acknowledgements
PartI：Technicalaspectsofbosonization
AsimplecaseofBose-Fermiequivalence：Jordan-Wignerransformation
One-dimensionalfermiontatesneartheFermipoints
Chiralanomaly
Anomalouscommutators
Ganssianmodel.Lagrangianformulation
Bosonization
Interactionwithanelectromagneticfield;gaugeinvariance
Conformalsymmetryandfinitesizeeffects
GaussianmodelintheHamiltonianformulation
Virasoroalgebra
Wardidentities
Subalgebrasl(2)
StructureofHilhertspaceinconformaltheories
Differentialequationsforcorrelationfunctions
Dotsenko——Fateevbosonizationschemefortheminimalmodels
Current(Kac-Moody)algebras;thefirstassault
SugawaraHamiltonianforWess-Zumino-Novikov-Wittenmodel
Knizhnik-Zamolodchikov(KZ)equations
Relevantandirrelevantfields
Bose-EinsteinCondensationintwodimensions;Beresinskii-
Kesterlitz-Thoulesstransition
Thesine-Gordonmodel
Therenormalizationgroupanalysis
Exactsolutionofthesine-Gordonmodel
SpinS-1/2Heisenberg-lsingchain
Explicitexpressionforthedynamicalmagneticsusceptibility
Isingmodel
MoreabouttheWZNWmodel
Specialcases
1.1SU1(2)WZNWmodelasaGaussianmodel
1.2SU2(2)WZNWmodelandtheIsingmodel
1.3SU4(2)asatheoryoftwobosonicfields
1.4SUI0(2)asatheoryofthreebosonicfields
DeformationoftheWZNWmodelandcosetconstructions
Non-Abelianbosznization
WZNWmodelintheLagrangianformulation
DerivationoftheLagrangian
Calculationofanontrivialdeterminant

PartII：Applicationofthebosonizationtechniquetophysicalmodels
in(1+l)-dimemions
Interactingfermionswithspin
Spin-l/2Tomonaga-Luttingerliquid
InstabilitiesofaTomonaga-Lnttingerliquid
Electron-phononinteraction
1.1Incommensuratebandfilling，theeffectonK
1.2Commensuratebandfilling
1.3Appendix
Spectralgapinthespinsector
Opticalconductivity
Gapinthechargesectorathalf-fillingandthecaseofsmalldoping
Appendix.RGequationsforthemodelofone-dimensionalelectrons
fromtheSU(2)currentalgebra
Interactingfermionswithbrokenspinrotationalsymmetry
U(l)-symmetricThirringmodel：relationtosine-Gordonand
massiveThirringmodels
XYZThirringmodel
Spincorrelationfunctions
Theroleofmagneticfield
IV.ISpin-floptransitionintheXYZmodel
IV.2Toymodelforanorbitalantfferromagnet
WhatmayhappenwithaTomonaga-Luttingerfiquidinthreeimensions
Appendix.FermionicGreensfunction
1.1oordinatespaceGreensfunction
1.2hespectralfunction(vc>vs)
1.3ouriertransformoftheGreensfunction(re>v)
1.4hespectralfunction，vs>vc
1.5ouriertransformofGreensfunction，vs>vc
TwoweaklycoupledTomonaga-Luttingerliquids;spinlemcase
Spinliquidsinonedimension：exampleofspinladders
Couplingofidenticalchains;theAbelianbosonization
Correlationfunctionsfortheidenticalchains
II.lStaggeredsusceptibilityoftheconventional(Haldane)spiniquid
II.2Dimerizedspinliquid
Inequivalentchains;non-Abelianbosonization
Stringorderparameterinthespin-laddermodel
AppendixA.Thetopologicaltermemergingfromthe
Wess-Zuminoterm
AppendixB.HiddenZ2～Z2symmetryandstringorderparameter
inthebond-alternatingS——-1/2Heisenbergchain
Spin-l/2Heisenbergchainwithalternatingexchange
Appendix.Multiparticleformfactors
Superconductivityinadopedspinliquid
Bosonizationandfermionization
Superconductingfluctuations
Conclusions
Appendix.Conditionsforsuppressionofthesingle-particletunneling
EdgestatesinthequantumHalleffect

PartⅢSingleimpurityproblems
Potentialsattering
Introduction
Reductionofthelocalscatteringproblemtoonedimension
Thescatteringphase
X-rayedgeproblem(Fermiliquids)
Introduction
Statementoftheproblem
II.1Many-bodyformulation
I1.2One-particleformulation
Linkeddustersexpansion
Nozi6res-DeDominicissolution
Exactsolutionfortheoverlapintegral
BosonizationapproachtotheX-rayedgeproblem
VI.1Boundaryconditionchangingoperator(chiralanomaly)
VI.2X-rayresponsefunctionsviabosonization
AppendixA.Parquetapproximation
AppendixB.TheWiener-Hopfmethod
AppendixC.OrthogonalityofSlaterdeterminants
ImpuritiesinaTomonaga-Luttingerliquid
Introduction
Weak-couplinganalysisofasingleimpurity
II.1BosonizationoftheimpurityHamiltonian
II.2Lagrangianformulation：localaction
11.3Renormalizationgroupanalysisoflocaloperators
Strong-couplinganalysis
III.1Openboundarybosonization
111.2Strong-couplingfixedpoint
ExactsolutionatK=1/2andtheconductance
RelationoftheimpuritybackscatteringmodeltotheCaldeira-eggettmodel
X-rayedgeprobleminTomonaga-Luttingerliquids
Multi-channelKondoproblem
Introduction
Qualitativeanalysis
TheToulouselimit
TheEmery-Kivelsonsolution
IV.IGreensfunctionsandzero-fieldfreeenergy
IV.2Magneticfieldeffects
IV.3Wilsonratio
TheToulouselimitforthefour-channelKondomodel
Coulombblockade
VI.1One-dimensionalelectronsinpointcontacts
VI.2Coulombblockadeandtwo-channelKondomodel
Generalbibliography