Statistical mechanics and applications in condensed matter / Carlo Di Castro and Roberto Raimondi.

"This volume is based on a series of lectures we have given along the decades at the undergraduate, graduate, postgraduate and postdoctoral level"--Preface.

Includes bibliographical references and index.

1. Thermodynamics: a brief overview;
2. Kinetics;
3. From Boltzmann to 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 Hartree-Fock approximation;
10. Linear response and 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 the second order phase transitions; 14. The Landau-Wilson model for critical phenomena;
15. Superfluidity and superconductivity;
16. The 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. Hydrodynamics of the two-fluid model of superfluidity;
Appendix J. The Cooper problem in the theory of superconductivity;
Appendix K. Superconductive fluctuations phenomena; Appendix L. Diagrammatic aspects of the exact solution of the Tomonaga Luttinger model;
Appendix M. Details on the theory of the disordered Fermi.

This innovative and modular textbook combines classical topics in thermodynamics, statistical mechanics and many-body theory with the latest developments in condensed matter physics research.