《LECTURES ON THE MANY-ELECTRON PROBLEM》

1.The Many-Body Problem in Classical Statistical Mechanics1

1.1.The Ursell-Mayer Cluster Expansion1

1.2.Correlation Functions16

1.3.Cluster Expansion for Long-Range Forces20

1.4.Plasma Oscillations;Random Phase Approximation28

1.5.The Self-Consistent Field Method;Vlasov Equation34

2.Field Theoretic Methods;Linked Cluster Expansion40

2.1.Second Quantization;the Adiabatic Hypothesis40

2.2.Perturbation Expansions47

2.3.Linked Cluster Theorem67

2.4.Grand Ensemble;Perturbation Theory77

2.5.Canonical Ensemble;Perturbation Expansion87

3.Electron Correlation;Quantum Mechanical Treatment92

3.1.General Survey92

3.2.The Sawada Hamiltonian Method107

4.Dielectric Formulation of the Many-Body Problem127

4.1.Generalized Dielectric Constant127

4.2.Self-Consistent Field Method138

4.3.Graphical Analysis of the Dielectric Constant143

4.4.Corrections to RPA;Exchange Effects148

4.5.RPA in Real Solids151

5.Applications to the Theory of Metals160

5.1.Specific Heat,Susceptibility,and Quasi-Particles160

5.2.Characteristic Energy Loss173

5.3.Screening of a Foreign Impurity176

5.4.Phonons in Metals179

5.5.Phonon-Mediated Electron Interaction—Mechanism of Superconductivity189

5.6.Zero Sound191

5.7.paramagnetic Spin Susceptibility193

5.8.Other Applications of RPA198

Author Index201

Subject Index203