Geodesic
Relaxation in the system of vibrational levels of a~harmonic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 128-138

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The nonequilibrium density matrix method for a quantum subsystem is used to consider energy transitions between the vibrational levels of a harmonic oscillator which interacts with a thermal bath. Kinetic equations are obtained for the populations of the equidistant levels and the times of internal conversion, which govern the transition to the equilibrium state, are found. 
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     author = {\`E. G. Petrov and V. I. Teslenko},
     title = {Relaxation in the system of vibrational levels of a~harmonic oscillator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {38},
     number = {1},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a12/}
}
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È. G. Petrov; V. I. Teslenko. Relaxation in the system of vibrational levels of a~harmonic oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 128-138. http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a12/