Book contents
- Frontmatter
- Contents
- Preface
- 1 Thermodynamics: a brief overview
- 2 Kinetics
- 3 From Boltzmann to Boltzmann–Gibbs
- 4 More ensembles
- 5 The thermodynamic limit and its thermodynamic stability
- 6 Density matrix and quantum statistical mechanics
- 7 The quantum gases
- 8 Mean-field theories and critical phenomena
- 9 Second quantization and the Hartree–Fock approximation
- 10 Linear response and the fluctuation–dissipation theorem in quantum systems: equilibrium and small deviations
- 11 Brownian motion and transport in disordered systems
- 12 Fermi liquids
- 13 The Landau theory of second order phase transitions
- 14 The Landau–Wilson model for critical phenomena
- 15 Superfluidity and superconductivity
- 16 Scaling theory
- 17 The renormalization group approach
- 18 Thermal Green functions
- 19 The microscopic foundations of Fermi liquids
- 20 The Luttinger liquid
- 21 Quantum interference effects in disordered electron systems
- Appendix A The central limit theorem
- Appendix B Some useful properties of the Euler Gamma function
- Appendix C Proof of the second theorem of Yang and Lee
- Appendix D The most probable distribution for the quantum gases
- Appendix E Fermi–Dirac and Bose–Einstein integrals
- Appendix F The Fermi gas in a uniform magnetic field: Landau diamagnetism
- Appendix G Ising and gas-lattice models
- Appendix H Sum over discrete Matsubara frequencies
- Appendix I Two-fluid hydrodynamics: a few hints
- Appendix J The Cooper problem in the theory of superconductivity
- Appendix K Superconductive fluctuation phenomena
- Appendix L Diagrammatic aspects of the exact solution of the Tomonaga–Luttinger model
- Appendix M Details on the theory of the disordered Fermi liquid
- Appendix N Answers to problems
- References
- Index
Contents
Published online by Cambridge University Press: 05 September 2015
- Frontmatter
- Contents
- Preface
- 1 Thermodynamics: a brief overview
- 2 Kinetics
- 3 From Boltzmann to Boltzmann–Gibbs
- 4 More ensembles
- 5 The thermodynamic limit and its thermodynamic stability
- 6 Density matrix and quantum statistical mechanics
- 7 The quantum gases
- 8 Mean-field theories and critical phenomena
- 9 Second quantization and the Hartree–Fock approximation
- 10 Linear response and the fluctuation–dissipation theorem in quantum systems: equilibrium and small deviations
- 11 Brownian motion and transport in disordered systems
- 12 Fermi liquids
- 13 The Landau theory of second order phase transitions
- 14 The Landau–Wilson model for critical phenomena
- 15 Superfluidity and superconductivity
- 16 Scaling theory
- 17 The renormalization group approach
- 18 Thermal Green functions
- 19 The microscopic foundations of Fermi liquids
- 20 The Luttinger liquid
- 21 Quantum interference effects in disordered electron systems
- Appendix A The central limit theorem
- Appendix B Some useful properties of the Euler Gamma function
- Appendix C Proof of the second theorem of Yang and Lee
- Appendix D The most probable distribution for the quantum gases
- Appendix E Fermi–Dirac and Bose–Einstein integrals
- Appendix F The Fermi gas in a uniform magnetic field: Landau diamagnetism
- Appendix G Ising and gas-lattice models
- Appendix H Sum over discrete Matsubara frequencies
- Appendix I Two-fluid hydrodynamics: a few hints
- Appendix J The Cooper problem in the theory of superconductivity
- Appendix K Superconductive fluctuation phenomena
- Appendix L Diagrammatic aspects of the exact solution of the Tomonaga–Luttinger model
- Appendix M Details on the theory of the disordered Fermi liquid
- Appendix N Answers to problems
- References
- Index
Summary
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- Publisher: Cambridge University PressPrint publication year: 2015