An innovative and modular textbook combining established topics in statistical mechanics with the latest developments in condensed matter physics.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Carlo Di Castro is a member of the 'Accademia Nazionale dei Lincei' and Emeritus Professor of Theoretical Physics at the Sapienza University of Rome, where he has been at the forefront of teaching and research in statistical mechanics and many-body theory for over forty years. His current interests include strongly correlated electron systems, quantum criticality, high temperature superconductivity and non-Fermi-liquid metals.
Inhaltsangabe
Preface 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 liquid References Author index Index.
Preface 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 liquid References Author index Index.
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