Quantum Statistical Mechanics
Cambridge University Press, 3/31/2009
EAN 9780521841467, ISBN10: 0521841461
Hardcover, 496 pages, 25.4 x 18 x 2.4 cm
Language: English
Many-body theory stands at the foundation of modern quantum statistical mechanics. It is introduced here to graduate students in physics, chemistry, engineering and biology. The book provides a contemporary understanding of irreversibility, particularly in quantum systems. It explains entropy production in quantum kinetic theory and in the master equation formulation of non-equilibrium statistical mechanics. The first half of the book focuses on the foundations of non-equilibrium statistical mechanics with emphasis on quantum mechanics. The second half of the book contains alternative views of quantum statistical mechanics, and topics of current interest for advanced graduate level study and research. Unique to textbooks on this subject, this book contains a discussion of the fundamental Gleason theorem. Quantum entanglements are treated in application to quantum computation and the difficulties arising from decoherence. The relativistic generalization of the Boltzmann equation is derived, and modern transport applications to reservoir ballistic transport are developed.
1. Foundations of quantum statistical mechanics
2. Elementary examples
3. Quantum statistical master equation
4. Quantum kinetic equations
5. Quantum irreversibility
6. Entropy and dissipation
the microscopic theory
7. Global equilibrium
thermostatics and the microcanonical ensemble
8. Bose-Einstein ideal gas condensation
9. Scaling, renormalization and the Ising model
10. Relativistic covariant statistical mechanics of many particles
11. Quantum optics and damping
12. Entanglements
13. Quantum measurement and irreversibility
14. Quantum Langevin equation
quantum Brownian motion
15. Linear response
fluctuation and dissipation theorems
16. Time dependent quantum Green's functions
17. Decay scattering
18. Quantum statistical mechanics, extended
19. Quantum transport with tunneling and reservoir ballistic transport
20. Black hole thermodynamics
Appendix
Index.