Quantum Statistical Mechanics

In General > s.a. quantum measurement [Zeno].
* Thermalization: One can get mixed states from pure states by coarse-graining, or some self-thermalization.
@ Texts: Khinchin 60; Kadanoff & Baym 62; Bogoliubov & Bogoliubov 82; Thirring 83; Ruelle mp/01-ln [operator algebras, spin].
@ Foundations: Casati NCB(99).
@ Thermalization: Hari Dass et al IJMPA(03)cm/01 [self-thermalization]; Scarani a0707-in [entanglement and irreversibility].
@ Non-equilibrium: Nachbagauer EPJC(99)ht/98 [dissipative time evolution].
@ Related topics: Brody & Hughston gq/97 [geometrical]; Gottlieb qp/01 [classical and quantum disorder]; Sankovich mp/01 [functional integrals]; Balian SHPMP(05) [and information theory]; Khrennikov qp/05-in, qp/05-in, JPA(05) [pre-quantum model]; Edgal & Huber PhyA(06) [new approach]; > s.a. stochastic quantization.

Quantum-Classical Relationship
@ General references: Prugovecki PhyA(78) [scattering]; Wreszinski & Scharf CMP(87); de Carvalho & Cavalcanti qp/98-in [semiclassical].
@ Entanglement and thermal states: Popescu et al qp/05; Jeong & Ralph PRL(06).

Systems > s.a. models in statistical mechanics; quantum systems.
@ Gas: LeClair JPA(07)ht/06 [ito dynamical filling fractions].
@ Thermofield dynamics: Laflamme NPB(89) [and geometry]; Chu & Umezawa IJMPA(94) [review]; Lawrie JPA(94) [and quantum statistical mechanics]; > s.a. casimir effect, quantum field theory phenomenology.

States > see mixed states; states in statistical mechanics; wigner functions.
* Schrödinger-Park paradox: A fundamental difficulty undermining the concept of individual "state" in the present formulations of quantum statistical mechanics (and in its quantum information theory interpretation as well), which is an unavoidable consequence of an observation by Schrödinger and Park; To resolve it, we must either reject as unsound the concept of state, or reformulate quantum theory and the role of statistics in it.
@ Distribution functions: Lee PRP(95); Lukkarinen JPA(00) [non-canonical].
@ Schrödinger-Park paradox: Beretta MPLA(06)qp [and the Hatsopoulos-Gyftopoulos proposal].

Related Concepts > see entropy.

Main page – Abbreviations – Journals – Comments – Other sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified 21 jun 2008