Geodesic
Construction of kinetic equations for nonequilibrium quantum systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 250-264

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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. 
@article{TMF_1974_20_2_a10,
     author = {G. O. Balabanyan},
     title = {Construction of kinetic equations for nonequilibrium quantum systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {250--264},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a10/}
}
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G. O. Balabanyan. Construction of kinetic equations for nonequilibrium quantum systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 250-264. http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a10/