Geodesic
Construction of a~kinetic equation for a~quantum dynamical system interacting with a~phonon field by the method of ordered operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 1, pp. 89-105

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The derivation of a general kinetic equation for a quantum dynamical system interacting with a phonon field is considered. The theory is constructed by the method of ordered operators without the use of any approximations. The general theory is illustrated by the example of a quantum harmonic oscillator under the influence of a variable external classical force that is linearly coupled to a thermal bath, i.e., a system of noninteraeting quantum oscillators. A generalized kinetic equation of Hloeh type is derived on the basis of the obtained exact relations after an appropriate approximation procedure for the quantum oscillator. 
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     author = {G. O. Balabanyan},
     title = {Construction of a~kinetic equation for a~quantum dynamical system interacting with a~phonon field by the method of ordered operators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a9/}
}
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G. O. Balabanyan. Construction of a~kinetic equation for a~quantum dynamical system interacting with a~phonon field by the method of ordered operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 1, pp. 89-105. http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a9/