Geodesic
Damping of a highly excited harmonic oscillator in a crystal
Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 2, pp. 224-232 Cet article a éte moissonné depuis la source Math-Net.Ru

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The diagonal elements of the density matrix of a dynamical subsystem consisting of a highly excited harmonic oscillator that interacts with crystal vibrations are found. The result obtained is asymptotically exact. Various limiting cases are considered and, in particular, a rigorous criterion for applicability of the balance equations for the considered problem is established. 
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     title = {Damping of a~highly excited harmonic oscillator in a~crystal},
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B. I. Makshantsev; V. M. Finkel'berg. Damping of a highly excited harmonic oscillator in a crystal. Teoretičeskaâ i matematičeskaâ fizika, Tome 35 (1978) no. 2, pp. 224-232. http://geodesic.mathdoc.fr/item/TMF_1978_35_2_a7/

[1] N. N. Bogolyubov, Izbrannye trudy, t. 2, «Naukova dumka», Kiev, 1970, str. 77 | MR

[2] Kogerentnye sostoyaniya v kvantovoi teorii, Sb., «Mir», 1972, str. 46, 53 | MR

[3] K. Husimi, Progr. Theor. Phys., 9 (1953), 381 | DOI | MR | Zbl