| Foreword |
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v | |
| Authors' preface |
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vi | |
| Foreword to the English edition |
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viii | |
| Translator's preface |
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ix | |
| Introduction |
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1 | (6) |
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Chapter I Basic relations |
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7 | (31) |
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1 The density matrix and time-correlation functions |
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7 | (5) |
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2 The spectral representation of a simple product |
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12 | (5) |
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3 Green functions and their spectral representation |
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17 | (6) |
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4 The diagonal elements of the Green functions; dispersion relations |
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23 | (2) |
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5 The simplest Green functions |
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25 | (13) |
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Chapter II The Green function equations of motion |
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38 | (47) |
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6 Equations of motion and Hamiltonians |
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38 | (5) |
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7 The chain of equations for the double-time Green functions |
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43 | (7) |
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8 Equations in terms of functional derivatives |
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50 | (6) |
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9 The mass and polarisation operators; the effective wave equation |
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56 | (12) |
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10 Dyson's equations and the multiplicative re-normalisation group |
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68 | (3) |
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11 Improved perturbation theory |
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71 | (14) |
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Chapter III Green functions and the macroscopic characteristics of a system |
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85 | (35) |
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12 Green functions and the thermodynamic potential |
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85 | (11) |
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96 | (7) |
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14 The reaction of a system to external action; representation through double-time Green functions |
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103 | (7) |
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15 The reaction of a system to external action; representation through the vertex part |
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110 | (7) |
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117 | (3) |
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Chapter IV Plasma oscillations in solids |
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120 | (30) |
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17 Statement of the problem |
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120 | (3) |
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18 Plasma oscillation frequencies and damping |
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123 | (9) |
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19 Electron gas plasma spectrum; Fermi case |
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132 | (5) |
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20 Electron gas plasma spectrum; Boltzmann case |
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137 | (5) |
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21 Screening of a static field by free charges |
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142 | (4) |
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146 | (4) |
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Chapter V Charge carriers in solids |
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150 | (16) |
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23 Perfect semi-conductors |
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150 | (5) |
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155 | (5) |
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25 Localised levels in semi-conductors |
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160 | (2) |
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26 The electron-phonon coupling constant in metals |
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162 | (4) |
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Chapter VI Electron-phonon interaction |
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166 | (13) |
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166 | (6) |
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28 The energy spectrum of a superconductor |
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172 | (7) |
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Chapter VII Ferromagnetism |
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179 | (24) |
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29 Spin waves at finite temperatures |
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179 | (4) |
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30 The magnetisation in different temperature ranges |
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183 | (5) |
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31 Ferromagnetic resonance |
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188 | (6) |
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32 General relations for ferromagnetic resonance |
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194 | (9) |
| Appendix I Introduction to quantum field theory |
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203 | (22) |
| Appendix II Paul! operators |
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225 | (2) |
| Appendix III The causal Green function for a free electromagnetic field |
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227 | (2) |
| Appendix IV The spectral representations for many-time Green functions |
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229 | (3) |
| Appendix V The Bethe-Salpeter equation |
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232 | (4) |
| Appendix VI The mass operator and vertex part for systems with direct interactions |
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236 | (4) |
| Appendix VII Recent developments |
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240 | (3) |
| References |
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243 | (6) |
| Index |
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249 | |
