《THE QUANTUM MECHANICS OF MANY-BODY SYSTEMS》

Ⅰ．INTRODUCTION1

Ⅱ．SOLUBLE MODELS7

1．Introduction7

2．Noninteracting fermions and bosons8

3．Second quantization9

4．Harmonic forces12

Ⅲ．VARIATIONAL METHODS15

1．The Hartree-Fock equations15

2．The self-consistent field for atoms17

3．The Thomas-Fermi method18

4．Nuclear matter20

5．The Hartree-Fock equations for extended systems22

6．Alternative solutions of the Hartree-Fock equations24

7．Jastrow＇s method29

8．The shell model30

Ⅳ．PERTURBATION THEORY33

1．General discussion33

2．The Goldstone-Hugenholtz graphical method35

3．Wick＇s theorem38

4．Linked graphs42

5．Rules for calculating with graphs44

6．Hartree-Fock energies48

7．Brueckner theory50

8．Brueckner theory for finite nuclei55

9．Divergence of the K-matrix57

Ⅴ．LOW-LYING EXCITED STATES59

1．Green＇s functions and collective variables59

2．One-particle Green＇s functions60

3．Perturbation calculation of Green＇s functions65

4．The optical model69

5．The Fermi liquid71

6．Sound and zero sound75

7．Collective motion78

8．Generator coordinates82

9．Two-particle Green＇s functions83

10．Time-dependent Hartree-Fock theory88

11．Application to the shell model90

Ⅵ．STATISTICAL MECHANICS AND SUPERCONDUCTIVITY THEORY95

1．The partition function95

2．Free fermions and bosons97

3．Superconductivity99

4．Model of the superconducting state101

5．Superconducting state of a real metal105

6．The variational principle for the partition function108

7．Quasiparticle method109

8．Superfluidity of liquid helium three115

9．The effect of pairing on nuclear properties116

Ⅶ．PERTURBATION THEORY AT FINITE TEMPERATURES119

1．The Bloch equation119

2．Linked graph expansion120

3．Comparison with ground state perturbation theory123

4．Expectation value of an operator126

5．Classical limit of perturbation theory126

Ⅷ．GREEN＇S FUNCTIONS AT FINITE TEMPERATURES129

1．Excited states at finite temperatures129

2．Calculation of Green＇s functions by perturbation theory131

3．Plasma oscillations133

4．Correlation energy137

5．Screening144

6．Survey of alternative techniques146

7．Electrical conductivity149

8．Collective modes in superconductors151

Ⅸ．BOSONS153

1．Introduction153

2．Liquid helium154

3．Phonons160

REFERENCES163

SUBJECT INDEX171