Quantum statistical mechanics

Author(s)

• Schieve, William C.
• Horwitz, L. P. (Lawrence Paul)

Bibliographic Information

Quantum statistical mechanics

William C. Schieve, Lawrence P. Horwitz

Cambridge University Press, 2009

Note

Includes bibliographical references and index

Description and Table of Contents

Description

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.

Table of Contents

• 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.

by "Nielsen BookData"

Details

• NCID: BA89478622
• ISBN:
  • 9780521841467
• LCCN: 2008047238
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge
• Pages/Volumes: xiv, 414 p.
• Size: 26 cm
• Classification:
  • DC22 : 530.133
• Subject Headings:
  • LCSH : Quantum statistics