多体系统的量子理论（英文版）

多体系统的量子理论（英文版）

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作者: [加拿大] 扎勾斯凯著

出版社: 世界图书出版公司

出版时间: 2009-05

版次: 1

ISBN: 9787510004902

定价: 30.00

装帧: 平装

开本: 24开

纸张: 胶版纸

页数: 229页

正文语种: 英语

分类: 自然科学

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28人买过

　　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
1.2.2FeynmansFormulationofQuantumMechanics：Path(Functional)Integrals
1.2.3QuantumTransportinMesoscopicRings：PathIntegralDescription
1.3PerturbationTheoryforthePropagator
1.3.1GeneralFormalism
1.3.2AnExample：PotentialScattering
1.4SecondQuantization
1.4.1DescriptionofLargeCollectionsofIdenticalParticles.FocksSpace
1.4.2Bosons
1.4.3NumberandPhaseOperatorsandTheirUncertaintyRelation
1.4.4Fermions
1.5ProblemstoChapter1
GreensFunctionsatZeroTemperature
2.1GreensFunctionofTheMany-BodySystem：DefinitionandProperties
2.1.1DefinitionofGreensFunctionsoftheMany-BodySystem
2.I.2AnalyticPropertiesofGreensFunctions
2.1.3RetardedandAdvancedGreensFunctions
2.1.4GreensFunctionandObservables
2.2PerturbationTheory：FeynmanDiagrams
2.2.1DerivationofFeynmanRules.WicksandCancellationTheorems
2.2.2OperationswithDiagrams.SelfEnergy.DysonsEquation
2.2.3RenormalizationoftheInteraction.PolarizationOperator
2.2.4Many-ParticleGreensFunctions.Bethe-SalpeterEquations.VertexFunction
2.3ProblemstoChapter2
3MoreGreensFunctions，EquilibriumandOtherwise，andTheirApplications
3.IAnalyticPropertiesofEquilibriumGreensFunctions
3.1.1StatisticalOperator(DensityMatrix).TheLiouvilleEquation
3.1.2DefinitionandAnalyticPropertiesofEquilibriumGreensFunctions
3.2Matsubaraformalism
3.2.1BlochsEquation
3.2.2Temperature(Matsubara)GreensFunction
3.2.3PerturbationSeriesandDiagramTechniquesfortheTemperatureGreensFunction
3.3LinearResponseTheory
3.3.1LinearResponseTheory.KuboFormulas
3.3.2Fluctuation-DissipationTheorem
3.4NonequilibriumGreensFunctions
3.4.1NonequilibriumcausalGreensfunction：definition
3.4.2ContourOrderingandThreeMoreNonequilibriumGreensFunctions
3.4.3TheKeldyshFormalism
3.5QuantumKineticEquation
3.5.1DysonsEquationsforNonequilibriumGreensFunctions
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
4.4GreensFunctionsofaSuperconductor：TheNambu-GorkovFormalism
4.4.1MatrixStructureoftheTheory
4.4.2ElementsoftheStrongCouplingTheory
4.4.3GorkovsEquationsfortheGreensFunctions
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
内容简介:
　　ThisbookgrewoutoflecturesthatIgaveintheframeworkofagraduatecourseinquantumtheoryofmany-bodysystemsattheAppliedPhysicsDepartmentofChalmersUniversityofTechnologyandG6teborgUniversity(Geteborg，Sweden)intheyears1992-1995.Itspurposeistogiveacompactandself-containedaccountofbasicideasandtechniquesofthetheoryfromthe"condensedmatter"pointofview.Thebookisaddressedtograduatestudentswithknowledgeofstandardquantummechanicsandstatisticalphysics.(Hopefully，physicistsworkinginotherfieldsmayalsofindituseful.)
目录:
Preface
ListofTables
BasicConcepts
1.1Introduction：WhysandHowsofQuantumMany-BodyTheory
1.1.1ScreeningofCoulombPotentialinMetal
1.1.2Time-DependentEffects.Plasmons
1.2PropagationFunctioninaOne-BodyQuantumTheory
1.2.1Propagator：DefinitionandProperties
1.2.2FeynmansFormulationofQuantumMechanics：Path(Functional)Integrals
1.2.3QuantumTransportinMesoscopicRings：PathIntegralDescription
1.3PerturbationTheoryforthePropagator
1.3.1GeneralFormalism
1.3.2AnExample：PotentialScattering
1.4SecondQuantization
1.4.1DescriptionofLargeCollectionsofIdenticalParticles.FocksSpace
1.4.2Bosons
1.4.3NumberandPhaseOperatorsandTheirUncertaintyRelation
1.4.4Fermions
1.5ProblemstoChapter1
GreensFunctionsatZeroTemperature
2.1GreensFunctionofTheMany-BodySystem：DefinitionandProperties
2.1.1DefinitionofGreensFunctionsoftheMany-BodySystem
2.I.2AnalyticPropertiesofGreensFunctions
2.1.3RetardedandAdvancedGreensFunctions
2.1.4GreensFunctionandObservables
2.2PerturbationTheory：FeynmanDiagrams
2.2.1DerivationofFeynmanRules.WicksandCancellationTheorems
2.2.2OperationswithDiagrams.SelfEnergy.DysonsEquation
2.2.3RenormalizationoftheInteraction.PolarizationOperator
2.2.4Many-ParticleGreensFunctions.Bethe-SalpeterEquations.VertexFunction
2.3ProblemstoChapter2
3MoreGreensFunctions，EquilibriumandOtherwise，andTheirApplications
3.IAnalyticPropertiesofEquilibriumGreensFunctions
3.1.1StatisticalOperator(DensityMatrix).TheLiouvilleEquation
3.1.2DefinitionandAnalyticPropertiesofEquilibriumGreensFunctions
3.2Matsubaraformalism
3.2.1BlochsEquation
3.2.2Temperature(Matsubara)GreensFunction
3.2.3PerturbationSeriesandDiagramTechniquesfortheTemperatureGreensFunction
3.3LinearResponseTheory
3.3.1LinearResponseTheory.KuboFormulas
3.3.2Fluctuation-DissipationTheorem
3.4NonequilibriumGreensFunctions
3.4.1NonequilibriumcausalGreensfunction：definition
3.4.2ContourOrderingandThreeMoreNonequilibriumGreensFunctions
3.4.3TheKeldyshFormalism
3.5QuantumKineticEquation
3.5.1DysonsEquationsforNonequilibriumGreensFunctions
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
4.4GreensFunctionsofaSuperconductor：TheNambu-GorkovFormalism
4.4.1MatrixStructureoftheTheory
4.4.2ElementsoftheStrongCouplingTheory
4.4.3GorkovsEquationsfortheGreensFunctions
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

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