Geodesic
Dynamics of a subsystem interacting with a thermal bath
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 393-402 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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