Geodesic
Dynamics of a~subsystem interacting with a~thermal bath
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 393-402

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A simple and rigorous derivation of an exact quantum kinetic equation for the density matrix of a subsystem in contact with a thermal bath is proposed. The Markov approximation of this equation is studied. A quantum evolution equation is also obtained for the equilibrium two-time correlation functions of the dynamical variables of the subsystem. As an application, a particle (oscillator) interacting with an arbitrary medium in thermodynamic equilibrium through any power of the particle displacement operator is considered. 
@article{TMF_1979_39_3_a10,
     author = {V. F. Los'},
     title = {Dynamics of a~subsystem interacting with a~thermal bath},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {393--402},
     publisher = {mathdoc},
     volume = {39},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a10/}
}
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V. F. Los'. Dynamics of a~subsystem interacting with a~thermal bath. Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 393-402. http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a10/