Geodesic
Relaxation of nonlinear oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 367-374 
V. N. Pavlovich. Relaxation of nonlinear oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 3, pp. 367-374. http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a5/
@article{TMF_1991_86_3_a5,
     author = {V. N. Pavlovich},
     title = {Relaxation of nonlinear oscillator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {367--374},
     year = {1991},
     volume = {86},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a5/}
}
TY  - JOUR
AU  - V. N. Pavlovich
TI  - Relaxation of nonlinear oscillator
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1991
SP  - 367
EP  - 374
VL  - 86
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a5/
LA  - ru
ID  - TMF_1991_86_3_a5
ER  - 
%0 Journal Article
%A V. N. Pavlovich
%T Relaxation of nonlinear oscillator
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1991
%P 367-374
%V 86
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1991_86_3_a5/
%G ru
%F TMF_1991_86_3_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

A physical system with a finite number of levels that interacts with a thermal reservoir and with an external harmonic force is considered. With allowance for transitions only between neighboring levels and with averaging over the fast oscillations, it is possible to obtain closed equations for the diagonal elements of the density matrix and a solution of them in the stationary case.

[1] Swain S., Adv. Atom. Mol. Phys. N. Y., 16 (1980), 159–200 | DOI

[2] Allen A., Eberli Dzh., Opticheskii rezonans i dvukhurovnevye atomy, Mir, M., 1978

[3] Dikman M. I., Krivoglaz M. A., Phys. stat. sol. (b), 48:1 (1971), 497–508 | DOI

[4] Dykman M. I., ZhETF, 68:3 (1975), 2082–2095

[5] Zaslavskii O. B., Sinitsyn Yu. A., Tsukerman V. N., ZhETF, 91:1 (1986), 156–167

[6] Zaslavskii O. B., Stokhastichnost dinamicheskikh sistem, Nauka, M., 1984 | MR | Zbl

[7] Sazonov V. N., TMF, 31:1 (1977), 107–117 | MR

[8] Zatsepin S. V., Sazonov V. N., TMF, 41:1 (1979), 111–123 | MR

[9] Petrov E. G., TMF, 46:1 (1981), 99–110 | MR

[10] Demidenko A. A., Petrov E. G., TMF, 49:1 (1981), 122–130 | MR

[11] Stone J., Phys. Rev. A, 30:2 (1984), 2517–2531 | DOI

[12] Zeldovich B. Ya., Perelomov A. M., Popov V. S., ZhETF, 55:1 (1968), 589–605; 57:1 (1969), 196–206

[13] Landau L. D., Lifshits E. M., Mekhanika, Nauka, M., 1979 | MR

[14] Landau L. D., Lifshits E. M., Kvantovaya mekhanika, Nauka, M., 1973

[15] Maradudin A. A., Defekty i kolebatelnyi spektr kristallov, Mir, M., 1968