| Titre : | Quantum statistical mechanics : Green function methods in equilibrium and nonequilibrium problems |
| Auteurs : | Leo P. Kadanoff, Auteur ; Gordon Baym, Auteur |
| Type de document : | Monographie imprimée |
| Editeur : | Reading, MA : Addison-Wesley, 1988 |
| ISBN/ISSN/EAN : | 978-0-201-41046-4 |
| Format : | 1 vol. (203 p.) / ill. / 23 cm |
| Langues: | Anglais |
| Résumé : |
This book is a very early systematic treatment of the application of the field-theoretical methods developed after the Second World War to the quantum mechanical many-body problem at finite temperature. It describes various techniques that remain basic tools of modern condensed matter physicists. |
| Sommaire : |
1 Mathematical Introduction 1-1 definitions 1-2 The boundary condition 4 2 Information Contained in G' and G10 2-1 Dynamical information 10 2-2 Statistical mechanical information contained in G 13 3 The Hartree and Hartree-Fock Approximations 17 3-1 Equations of motion 17 3-2 Free particles 20 3-3 The flartree approximation 21 3-4 The Hartree-Fock approximation 25 4 Effect of Collisions on G 28 4-1 Lifetime of single-particle states 28 4-2 Born approximation collisions 29 4-3 Structure of L. and A 33 4-4 Interpretation of the Born collision approximation 36 4-5 Boltzmann equation interpretation 38 5 A Technique for Deriving Green's Function Approximations 41 5-1 Ordinary perturbation theory 44 5-2 Expansion of E in V and Go 48 5-3 Expansion ofI in V and G 50 6 Transport Phenomena 52 6-1 Boltzmann equation approach to transport 53 6-2 Green' s function description of transport 60 6-3 Conservation laws for g (U) 64 6-4 Relation of g(U) to the distribution function f(p, R, T) 66 7 The Hartree Approximation, the Collisionless Boltzmann Equation, and the Random Phase Approximation 68 7-1 Collisionless Boltzmann equation 70 7-2 Linearization Hartree of the approximation—the random phase approximation 71 7-3 Coulomb interaction 74 7-4 Low-temperature fermion system and zero sound 79 7-5 Breakdown of the random phase approximation 83 8 Relation between Real and Imaginary Time Response Functions 87 8-1 Linear response 87 8-2 Continuation of imaginary time response to real times 94 8-3 Equations of motion in the real time domain 97 9 Slowly Varying Disturbances and the Boltzmann Equation 102 9-1 Derivation of the Boltzmann equation 103 9-2 Generalization of the Boltzmann equation 110 10 Quasi-Equilibrium Behavior: Sound Propagation 121 10-1 Complete equilibrium solutions 121 10-2 Local equilibrium solutions 125 10-3 Conservation laws 127 10-4 Application of conservation laws to the quasi-equilibrium situation 130 10-5 Sound propagation 136 11 The Landau Theory of the Normal Fermi Liquid 139 11-1 The Boltzmann equation 139 11-2 The conservation laws 143 11-3 Thermodynamic properties 148 12 The Shielded Potential 153 12-1 Green's function approximation for Coulomb gas 153 12-2 Calculation of the equation of state of a Coulomb gas 161 13 The T Approximation 177 13-1 Structure of the T matrix 177 13-2 Breakdown of the T approximation in metals 187 Finite-Temperature Perturbation Theory for G 191 References and Supplementary Reading 201 |
Disponibilité (2)
| Cote | Support | Localisation | Statut |
|---|---|---|---|
| PHY/211 | Livre | bibliothèque sciences exactes | Consultable |
| PHY/211 | Livre | bibliothèque sciences exactes | Empruntable |
