Geodesic
Coherent states in the problem of the establishment of statistical equilibrium in a system coupled to a thermal bath
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 3, pp. 367-375 
M. N. Yupina. Coherent states in the problem of the establishment of statistical equilibrium in a system coupled to a thermal bath. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 3, pp. 367-375. http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a7/
@article{TMF_1974_21_3_a7,
     author = {M. N. Yupina},
     title = {Coherent states in the problem of the establishment of statistical equilibrium in a~system coupled to a~thermal bath},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {367--375},
     year = {1974},
     volume = {21},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a7/}
}
TY  - JOUR
AU  - M. N. Yupina
TI  - Coherent states in the problem of the establishment of statistical equilibrium in a system coupled to a thermal bath
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1974
SP  - 367
EP  - 375
VL  - 21
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a7/
LA  - ru
ID  - TMF_1974_21_3_a7
ER  - 
%0 Journal Article
%A M. N. Yupina
%T Coherent states in the problem of the establishment of statistical equilibrium in a system coupled to a thermal bath
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 367-375
%V 21
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1974_21_3_a7/
%G ru
%F TMF_1974_21_3_a7

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

A system consisting of a thermal bath and a small system interacting with it is considered. The thermal bath is regarded as a system with very many (in practice infinitely many) degrees of freedom. The small system is coupled to the thermal bath by a fairly weak interaction, which is switched on at the initial time. It is assumed that initially the thermal bath was in a chaotic state, while the small system was in a certain arbitrary state. The method of coherent states is used to show that statistical equilibrium is established in the system coupled to the thermal bath. The evolution of the coherent states are studied by the method of time-dependent invariants.

[1] I. A. Malkin, V. I. Manko, D. A. Trifonov, Phys. Lett., 30A (1969), 414 | DOI

[2] I. A. Malkin, V. I. Manko, Phys. Lett., 32A (1970), 243 | DOI

[3] A. Holz, Lett. al Nuovo Cim., 4 (1970), 1319 | DOI

[4] H. R. Lewis, W. B. Riesenfeld, J. Math. Phys., 10 (1969), 1458 | DOI | MR | Zbl

[5] R. J. Glauber, Phys. Rev., 131 (1969), 2766 | DOI | MR

[6] N. N. Bogolyubov, Izbrannye trudy, t. II, «Naukova dumka», 1970, str. 77–98 | MR