Relaxation in the system of vibrational levels of a harmonic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 128-138 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] Yu. B. Gaididei, A. A. Serikov, TMF, 27 (1976), 242

[2] E. G. Petrov, V. I. Teslenko, UFZh, 22 (1977), 2003

[3] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Fizmatgiz, 1963

[4] A. S. Davydov, Kvantovaya mekhanika, Fizmatgiz, 1963 | MR

[5] A. S. Davydov, Teoriya molekulyarnykh eksitonov, «Nauka», 1968 | MR | Zbl

[6] D. N. Zubarev, Neravnovesnaya statisticheskaya termodinamika, «Nauka», 1971

[7] S. V. Peletminskii, A. A. Yatsenko, ZhETF, 53 (1967), 1327

[8] A. I. Akhiezer, S. V. Peletminskii, Metody statisticheskoi fiziki, «Nauka», 1977 | MR

[9] S. V. Peletminskii, E. G. Petrov, Preprint ITF-68-20, Kiev, 1968

[10] E. G. Petrov, UFZh, 23 (1978), 1493

[11] N. S. Koshlyakov, E. B. Gliner, M. M. Smirnov, Uravneniya v chastnykh proizvodnykh matematicheskoi fiziki, «Vysshaya shkola», 1970 | Zbl

[12] E. T. Uitteker, Dzh. N. Vatson, Kurs sovremennogo analiza, t. II, Fizmatgiz, 1963

[13] J. J. Markham, Rev. Mod. Phys., 31 (1959), 956 | DOI | Zbl

[14] Handbook of Mathematical Functions, Natl. Bur. Stand. Appl. Math. Ser., 55, 1964

[15] G. Beitman, A. Erdeii, Vysshie transtsendentnye funktsii, t. II, «Nauka», 1974 | MR

[16] A. F. Lubchenko, Preprint ITF-70-26, Kiev, 1970