固态物理学家用的格林函数

书籍目录

PREFACE TO THE IMPERIAL COLLEGE PRESS EDITION

PREFACE

INTRODUCTION： THE THEORY OF CONDENSED MATTER

CHAPTER 1 LATFICE DYNAMICS IN THE HARMONIC APPROXIMATION

1.1 The ground state energy

1.2 The ground state energy as an integral over coupling constant

1.3 The neutron scattering cross-section

1.4 The Green‘s function and its equation of motioff

1.5 The iteration solution of G

1.6 Summation of the iteration series

1.7 Calculation of the ground state energy and the neutron cross-section in terms of the phonon Green‘s function

CHAPTER 2 LATTICE DYNAMICS AT FINITE TEMPERATURES

2.1 The free energy in the harmonic approximation

2.2 The phonon temperature Green‘s function

2.3 The real-time Green‘s function and neutron scattering at finite temperatures

CHAPTER 3 THE FEYNMAN-DYSON EXPANSION

3.1 Zero-temperature theory： general formalism

3.2 Evaluation of the phonon Green‘s function at T= 0 by Feynman-Dyson perturbation theory

3.3 The Feynman-Dyson expansion at finite temperatures

3.4 Direct evaluation of the free energy by Feynman-Dyson perturbation theory

CHAPTER 4 THE XCATTERING OF FERMIONS BY A LOCALIZED PERTURBATION

4.1 Scattering of a single electron

4.2 Formulationg of the many-electon scattering problem in terms of fermion creation and annihiation oprtors

4.3 Single-electon Greens function

……

CHAPTER 5 ELECTONS IN THE PRESENCE OF MANY IMPURITIES-THE THEORY OF ELECTRICAL RESISTANCE IN METAS

CHAPTER 6 THE INTERACTING ELECTRON GAS

CHAPTER 7 THE MAGNETIC INSTABILITY OF THE INTERACTING ELECTORYGAS

CHAPTER 8 INTERACTING ELECTORN IN THE ATOMIC LIMIT

CHAPTER 9 TRANSICNT RESPOSIE OF THE FERMI GAS-THE X-RAY AND KONDO PROBLEMS

CHAPTER 10 SUPERCONDUCTVIIV

CHAPTER 11 STRONG CORRELATED ELECTRON SYSTMS HEAVY FERMIONS THE I-DIMENSIONAL ELECTION GAS

CHAPTER 12 HIGH T SUPERCONDUCTIVTIY

APPENDIX1 SECOND QUANTIZATION FOR FERMIONS AND BOSONS

APPENDIX2 TIME CORRELATION FUNCTIONS AND GREENS FUNCTIONS

BIBLIOGRAPHY

HISTORICAL NOTE ON GEORCE GREEN

INDEX

作者简介

A lot has happened in the field of condensed matter physics since the original edition of "Green's functions for Solid State Physicists" was published in 1974. Nevertheless, the book has helped introduce several generations of condensed matter physics graduate students to the very powerful ideas of quantum many body theory and some of their ap-plications, particularly those in the physics of itinerant magnetism and superconductivity that have nowadays come to be called "the correlated electron problem". 　　In preparing for the reprint edition, two new chapters have been added to the original text to provide an introduction to the recent de-velopments in this branch of condensed matter physics. Chapter 11 focuses on the understanding of the Kondo problem which grew out of the exact solutions developed in the mid 1970's. The accompanying growth of experimental work culminating in the discovery of the heavy fermion superconductors gave substance to the idea that Coulomb re-pulsion between electrons in a narrow band metal can actually lead to attraction between the electrons and resulting instabilities at low tem-peratures to either a superconducting or an antiferromagnetic state.　　此书为英文版。

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