Contents
Preface
Chapter1MathematicalToolsofQuantumMechanics1
11TheHilbertSpace2
12DualSpacesandtheDiracNotation6
13Operators8
14Self-AdjointOperatorsandEigen-Problem12
15RepresentationinDiscreteBases21
16RepresentationinContinuesBases25
17MatrixandWaveFunction29
18DirectProductandDirectSum32
19Exercises36
Chapter2FundamentalsofQuantumMechanics39
21TheBasicPostulatesofQuantumMechanics40
22TheStateofaSystem41
23ObservablesandOperators43
24MeasurementinQuantumMechanics44
25TimeEvolutionoftheSystem'sState49
26SymmetriesandConservationLaws53
27StateOperator56
28ThreePicturesofQuantumMechanics68
29ConnectingQuantumtoClassicalMechanics69
210ApproximationMethodsI||TheVariationalMethod72
211ApproximationMethodsII||TheWKBMethod75
212Exercises85
Chapter3SecondQuantization90
31IdenticalParticles，Many-ParticleStatesandPermutationSymmetry91
32Bosons99
33Fermions103
34FieldTheory106
35MomentumRepresentation109
36NoninteractingFermions111
37GroundStateEnergyandElementaryTheoryoftheElectronGas115
38¤Hartree-FockEquationsforAtoms120
39FreeBosons122
310¤WeaklyInteracting，DiluteBoseGas125
ivContents
311Exercises131
Chapter4CoherentStatesandSqueezedStates138
41FourRepresentationsofQuantumStates139
42CoherentStates141
43TheQuasi-ClassicalInterpretationofCoherentStates145
44CoordinateRepresentationinTermsofDisplacementOperator148
45CoherentStatesVectorAlgebra150
46SqueezedStates153
47Exercises160
Chapter5Green'sFunctionsandScatteringTheory164
51Time-IndependentGreen'sFunctions164
52Time-DependentGreen'sFunctions176
53Green'sFunctionsandPerturbationTheory185
54ScatteringTheoryI|ScatteringOperatorsandBornApproximation193
55ScatteringTheoryII|PartialWave201
Chapter6GeometricPhases206
61Introduction207
62QuantalPhaseFactorsforAdiabaticChanges210
63AdiabaticApproximation214
64Berry'sAdiabaticPhase221
Bibliography227
鄂公网安备 42010302001612号 