Abstract:
A study is made of nonequilibrium quantum systems for which a restricted set of macroscopic variables is adequate to describe their evolution. A general scheme is developed for constructing a Markov solution of the Liouville equation; this scheme enables one to obtain closed transport equations for the macroscopic variables. The general scheme is illustrated by the construction of kinetic equations for an exciton-phonon system with allowance for a binary interaction of the excitons.
Citation:
G. O. Balabanyan, “Construction of kinetic equations for nonequilibrium quantum systems”, TMF, 20:2 (1974), 250–264; Theoret. and Math. Phys., 20:2 (1974), 802–811
\Bibitem{Bal74}
\by G.~O.~Balabanyan
\paper Construction of kinetic equations for nonequilibrium quantum systems
\jour TMF
\yr 1974
\vol 20
\issue 2
\pages 250--264
\mathnet{http://mi.mathnet.ru/tmf3819}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 20
\issue 2
\pages 802--811
\crossref{https://doi.org/10.1007/BF01037333}
Linking options:
https://www.mathnet.ru/eng/tmf3819
https://www.mathnet.ru/eng/tmf/v20/i2/p250
This publication is cited in the following 1 articles:
V. P. Vereshchagin, M. P. Kashchenko, “Markov form of the nonequilibrium statistical operator for systems with weak interaction”, Theoret. and Math. Phys., 42:1 (1980), 87–90