Thouless / Massey / Brueckner The Quantum Mechanics of Many-Body Systems

1. Auflage 2013
ISBN: 978-1-4832-7596-3
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 186 Seiten, Web PDF

The Quantum Mechanics of Many-Body Systems provides an introduction to that field of theoretical physics known as ''many-body theory.'' It is concerned with problems that are common to nuclear physics, atomic physics, the electron theory of metals, and to the theories of liquid helium three and four, and it describes the methods which have recently been developed to solve such problems. The aim has been to produce a unified account of the field, rather than to describe all the parallel methods that have been developed; as a result, a number of important papers are not mentioned. The main emphasis is on the theories of atomic nuclei, the electron gas, and liquid helium; there is no discussion of molecular theory or of solid helium. The reader is expected to be familiar with the principles of nonrelativistic quantum mechanics and of statistical mechanics, but a knowledge of field theory and a detailed knowledge of nuclear and solid state physics are not assumed.

Autoren/Hrsg.

Thouless, D. J.

Massey, H. S. W.

Brueckner, Keith A.

Inhaltsverzeichnis

1;Front Cover;1
2;The Quantum Mechanics of Many-Body Systems;4
3;Copyright Page;5
4;Table of Contents;8
5;Preface;6
6;Chapter I. Introduction;12
7;Chapter II. Soluble Models;18
7.1;1. Introduction;18
7.2;2. Noninteracting fermions and bosons;19
7.3;3. Second quantization;20
7.4;4. Harmonic forces;23
8;Chapter III. Variational Methods;26
8.1;1. The Hartree-Fock equations;26
8.2;2. The self-consistent field for atoms;28
8.3;3. The Thomas-Fermi method;29
8.4;4. Nuclear matter;31
8.5;5. The Hartree-Fock equations for extended systems;33
8.6;6. Alternative solutions of the Hartree-Fock equations;35
8.7;7. Jastrow's method;40
8.8;8. The shell model;41
9;Chapter IV. Perturbation Theory;44
9.1;1. General discussion;44
9.2;2. The Goldstone-Hugenholtz graphical method;46
9.3;3. Wick's thoerem;49
9.4;4. Linked graphs;53
9.5;5. Rules for calculating with graphs;55
9.6;6. Hartree-Fock energies;59
9.7;7. Brueckner theory;61
9.8;8. Brueckner theory for finite nuclei;66
9.9;9. Divergence of the K-matrix;68
10;Chapter V. Low-Lying Excited States;70
10.1;1. Green's functions and collective variables;70
10.2;2. One-particle Green's functions;71
10.3;3. Perturbation calculation of Green's functions;76
10.4;4. The optical model;80
10.5;5. The Fermi liquid;82
10.6;6. Sound and zero sound;86
10.7;7. Collective motion;89
10.8;8. Generator coordinates;93
10.9;9. Two-particle Green's functions;94
10.10;10. Time-dependent Hartree-Fock theory;99
10.11;11. Application to the shell model;101
11;Chapter VI. Statistical Mechanics and Superconductivity Theory;106
11.1;1. The partition function;106
11.2;2. Free fermions and bosons;108
11.3;3. Superconductivity;110
11.4;4. Model of the superconducting state;112
11.5;5. Superconducting state of a real metal;116
11.6;6. The variational principle for the partition function;119
11.7;7. Quasiparticle method;120
11.8;8. Superfluidity of liquid helium three;126
11.9;9. The effect of pairing on nuclear properties;127
12;Chapter VII. Perturbation Theory at Finite Temperatures;130
12.1;1. The Bloch equation;130
12.2;2. Linked graph expansion;131
12.3;3. Comparison with ground state perturbation theory;134
12.4;4. Expectation value of an operator;137
12.5;5. Classical limit of perturbation theory;137
13;Chapter VIII. Green's Functions at Finite Temperatures;140
13.1;1. Excited states at finite temperatures;140
13.2;2. Calculation of Green's functions by perturbation theory;142
13.3;3. Plasma oscillations;144
13.4;4. Correlation energy;148
13.5;5. Screening;155
13.6;6. Survey of alternative techniques;157
13.7;7. Electrical conductivity;160
13.8;8. Collective modes in superconductors;162
14;Chapter IX. Bosons;164
14.1;1. Introduction;164
14.2;2. Liquid helium;165
14.3;3. Phonons;171
15;References;174
16;INDEX;182