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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nov 2009