多体系统的量子理论

《多体系统的量子理论(英文版)》由扎勾斯凯所著。

《多体系统的量子理论(英文版)》内容为：ThisbookgrewoutoflecturesthatIgaveintheframeworkofagraduatecourseinquantumtheoryofmany-bodysystemsattheAppliedPhysicsDepartmentofChalmersUniversityofTechnologyandG6teborgUniversity(Geteborg,Sweden)intheyears1992-1995.Itspurposeistogiveacompactandself-containedaccountofbasicideasandtechniquesofthetheoryfromthe"condensedmatter"pointofview.Thebookisaddressedtograduatestudentswithknowledgeofstandardquantummechanicsandstatisticalphysics.(Hopefully,physicistsworkinginotherfieldsmayalsofindituseful.)

Preface
ListofTables
BasicConcepts
1.1Introduction:WhysandHowsofQuantumMany-BodyTheory
1.1.1ScreeningofCoulombPotentialinMetal
1.1.2Time-DependentEffects.Plasmons
1.2PropagationFunctioninaOne-BodyQuantumTheory
1.2.1Propagator:DefinitionandProperties
1.2.2Feynman'sFormulationofQuantumMechanics:Path(Functional)Integrals
1.2.3QuantumTransportinMesoscopicRings:PathIntegralDescription
1.3PerturbationTheoryforthePropagator
1.3.1GeneralFormalism
1.3.2AnExample:PotentialScattering
1.4SecondQuantization
1.4.1DescriptionofLargeCollectionsofIdenticalParticles.Fock'sSpace
1.4.2Bosons
1.4.3NumberandPhaseOperatorsandTheirUncertaintyRelation
1.4.4Fermions
1.5ProblemstoChapter1
Green'sFunctionsatZeroTemperature
2.1Green'sFunctionofTheMany-BodySystem:DefinitionandProperties
2.1.1DefinitionofGreen'sFunctionsoftheMany-BodySystem
2.I.2AnalyticPropertiesofGreen'sFunctions
2.1.3RetardedandAdvancedGreen'sFunctions
2.1.4Green'sFunctionandObservables
2.2PerturbationTheory:FeynmanDiagrams
2.2.1DerivationofFeynmanRules.Wick'sandCancellationTheorems
2.2.2OperationswithDiagrams.SelfEnergy.Dyson'sEquation
2.2.3RenormalizationoftheInteraction.PolarizationOperator
2.2.4Many-ParticleGreen'sFunctions.Bethe-SalpeterEquations.VertexFunction
2.3ProblemstoChapter2
3MoreGreen'sFunctions,EquilibriumandOtherwise,andTheirApplications
3.IAnalyticPropertiesofEquilibriumGreen'sFunctions
3.1.1StatisticalOperator(DensityMatrix).TheLiouvilleEquation
3.1.2DefinitionandAnalyticPropertiesofEquilibriumGreen'sFunctions
3.2Matsubaraformalism
3.2.1Bloch'sEquation
3.2.2Temperature(Matsubara)Green'sFunction
3.2.3PerturbationSeriesandDiagramTechniquesfortheTemperatureGreen'sFunction
3.3LinearResponseTheory
3.3.1LinearResponseTheory.KuboFormulas
3.3.2Fluctuation-DissipationTheorem
3.4NonequilibriumGreen'sFunctions
3.4.1NonequilibriumcausalGreen'sfunction:definition
3.4.2ContourOrderingandThreeMoreNonequilibriumGreen'sFunctions
3.4.3TheKeldyshFormalism
3.5QuantumKineticEquation
3.5.1Dyson'sEquationsforNonequilibriumGreen'sFunctions
3.5.2TheQuantumKineticEquation
3.6Application:ElectricalConductivityofQuantumPointContacts
3,6.1QuantumElectricalConductivityintheElasticLimit
3.6.2ElasticResistanceofaPointContact:SharvinResistance,theLandauerFormula,andConductanceQuantization
3.6.3TheElectron-PhononCollisionIntegralin3DQuantumPointContact
3.6.4"CalculationoftheInelasticComponentofthePointContactCurrent
3.7MethodofTunnelingHamiltonian
3.8ProblemstoChapter3
MethodsoftheMany-BodyTheoryinSuperconductivity
4.1Introduction:GeneralPictureoftheSuperconductingState
4.2InstabilityoftheNormalState
4.3Pairing(BCS)Hamiltonian
4.3.1DerivationoftheBCSHamiltonian
4.3.2DiagonalizationoftheBCSHamiltonian.TheBogoliubovtransformation.Bogoliubov-deGennesEquations
4.3.3Bogolons
4.3.4ThermodynamicPotentialofaSuperconductor
4.4Green'sFunctionsofaSuperconductor:TheNambu-Gor'kovFormalism
4.4.1MatrixStructureoftheTheory
4.4.2ElementsoftheStrongCouplingTheory
4.4.3Gorkov'sEquationsfortheGreen'sFunctions
4.4.4Current-CarryingStateoftheSuperconductor
4.4.5DestructionofSuperconductivitybyCurrent
4.5AndreevReflection
4.5.1TheProximityEffectinaNormalMetalinContactWithaSuperconductor
4.5.2AndreevLevelsandJosephsonEffectinaCleanSNSJunction
4.5.3JosephsonCurrentinaShortBallisticJunction.QuantizationofCriticalCurrent
inQuantumPointContact
4.5.4JosephsonCurrentinaLongSNSJunction
4.5.5"TransportinSuperconductingQuantumPointContact:TheKeldyshFormalismApproach
4.6TunnelingofSingleElectronsandCooperPairs
4.6.1CoulombBlockadeofSingle-ElectronTunneling
4.6.2SuperconductingGrain:WhenOneElectronIsTooMany.
4.7ProblemstoChapter4
ALandauerFormalismforHybridNormal-SuperconductingStructures
A.1TheLandauer-Lambertformula
A.2GiantConductanceOscillationsinBallisticAndrecv
Interferometers
References
Index