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]; Scieve & Horwitz 09.
@ Foundations: Casati NCB(99); Fresch & Moro a0910 [thermodynamic properties in quantum pure states].
@ Thermalization: Hari Dass et al IJMPA(03)cm/01 [self-thermalization]; Scarani EPJST(07)-a0707 [entanglement and irreversibility]; Goldstein et al a0911 [macroscopic systems].
@ Non-equilibrium theory: Nachbagauer EPJC(99)ht/98 [dissipative time evolution].
@ Other generalizations: Sukhanov & Golubeva TMP(09) ["-k dynamics"].
@ 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 AIP(98)qp [semiclassical]; Kowalski et al PhyA(09) [quantified by Tsallis' deformation parameter q].
@ 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 [in terms of 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 > s.a. 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.
@ Equilibrium states: Linden et al a0907 [speed of fluctuations].
@ 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.

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