TY  - BOOK
AU  - Di Castro,Carlo
AU  - Raimondi,Roberto
TI  - Statistical mechanics and applications in condensed matter
SN  - 9781107039407
U1  - 530.41 23
PY  - 2015///
CY  - Cambridge
PB  - Cambridge University Press, 
KW  - Statistical mechanics
KW  - Condensed matter
KW  - Thermodynamics
KW  - Many-body problem
N1  - "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
N2  - 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
ER  -