Kinetic equations for a~quantum dynamical system interacting with a~thermal reservoir and a~random field
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 446-458
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The nonequilibrium density matrix method for quantum systems is used to investigate the relaxation of a dynamical system that interacts with a thermal reservoir and with a random external field. Kinetic equations that describe the evolution of the populations of the states of the dynamical system are obtained. The probabilities of transitions between the states of the system are found as functions of the temperature and the parameters of the random field, which is modeled by a discrete Markov process of telegraph type. Relaxation transitions in a three-level dynamical system are considered as applications.
@article{TMF_1990_84_3_a10,
author = {\`E. G. Petrov and V. I. Teslenko},
title = {Kinetic equations for a~quantum dynamical system interacting with a~thermal reservoir and a~random field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {446--458},
publisher = {mathdoc},
volume = {84},
number = {3},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a10/}
}
TY - JOUR AU - È. G. Petrov AU - V. I. Teslenko TI - Kinetic equations for a~quantum dynamical system interacting with a~thermal reservoir and a~random field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1990 SP - 446 EP - 458 VL - 84 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a10/ LA - ru ID - TMF_1990_84_3_a10 ER -
%0 Journal Article %A È. G. Petrov %A V. I. Teslenko %T Kinetic equations for a~quantum dynamical system interacting with a~thermal reservoir and a~random field %J Teoretičeskaâ i matematičeskaâ fizika %D 1990 %P 446-458 %V 84 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a10/ %G ru %F TMF_1990_84_3_a10
È. G. Petrov; V. I. Teslenko. Kinetic equations for a~quantum dynamical system interacting with a~thermal reservoir and a~random field. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 446-458. http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a10/