Geodesic
Schrödinger-type equation with damping for a dynamical system in a thermal bath
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 281-292 
K. Valasek; D. N. Zubarev; A. L. Kuzemsky. Schrödinger-type equation with damping for a dynamical system in a thermal bath. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 281-292. http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a10/
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     author = {K. Valasek and D. N. Zubarev and A. L. Kuzemsky},
     title = {Schr\"odinger-type equation with damping for a~dynamical system in a~thermal bath},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {281--292},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of a dynamical system that interacts weakly with a thermal bath. The nonequilibrium statistical operator method is used to establish a Schrödinger-type equation with damping for this system. In the case of Bose statistics, a system of coupled nonlinear equations of Schrödinger and kinetic types is obtained.

[1] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, § 38, Gostekhizdat, 1957 | MR

[2] D. N. Zubarev, DAN SSSR, 140 (1961), 92 ; 162 (1965), 532 ; 162 (1965), 1791 ; 164 (1965), 537 ; Препринт ИТФ-69-6, Киев, 1969 | Zbl | MR

[3] D. N. Zubarev, V. P. Kalashnikov, TMF, 1 (1969), 137 | MR

[4] D. N. Zubarev, Preprint R4-4886, OIYaI, 1970

[5] M. Gell-Mann, M. L. Goldberger, Phys. Rev., 91 (1953), 398 | DOI | MR | Zbl

[6] N. N. Bogolyubov, Preprint D-788, OIYaI, 1961 | MR

[7] N. N. Bogolyubov, Physica, Suppl., 26 (1960), 1

[8] K. Walasek, A. L. Kuzemsky, Preprint E4-4862, JINR, 1970

[9] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, § 36, Gostekhizdat, 1957 | MR

[10] N. Mott, G. Messi, Teoriya atomnykh stolknovenii, gl. 8, «Mir», 1969

[11] R. Noks, Teoriya eksitonov, «Mir», 1966 | MR

[12] D. N. Zubarev, UFN, 71 (1960), 71 | DOI | MR

[13] J. Schwinger, Proc. Nat. Acad. Sci., 37, 452 ; (1951), 455 | DOI | MR | Zbl | DOI

[14] V. L. Bonch-Bruevich, S. V. Tyablikov, Metod funktsii Grina v statisticheskoi mekhanike, Fizmatgiz, 1961 | MR