William C. Schieve, Lawrence P. HorwitzCambridge University Press, 3/31/2009EAN 9780521841467, ISBN10: 0521841461Hardcover, 496 pages, 25.4 x 18 x 2.4 cmLanguage: EnglishMany-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 mechanics2. Elementary examples3. Quantum statistical master equation4. Quantum kinetic equations5. Quantum irreversibility6. Entropy and dissipationthe microscopic theory7. Global equilibriumthermostatics and the microcanonical ensemble8. Bose-Einstein ideal gas condensation9. Scaling, renormalization and the Ising model10. Relativistic covariant statistical mechanics of many particles11. Quantum optics and damping12. Entanglements13. Quantum measurement and irreversibility14. Quantum Langevin equationquantum Brownian motion15. Linear responsefluctuation and dissipation theorems16. Time dependent quantum Green's functions17. Decay scattering18. Quantum statistical mechanics, extended19. Quantum transport with tunneling and reservoir ballistic transport20. Black hole thermodynamicsAppendixIndex.
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