Abstract:
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.
Citation:
M. N. Yupina, “Coherent states in the problem of the establishment of statistical equilibrium in a system coupled to a thermal bath”, TMF, 21:3 (1974), 367–375; Theoret. and Math. Phys., 21:3 (1974), 1208–1213
\Bibitem{Yup74}
\by M.~N.~Yupina
\paper Coherent states in the problem of the establishment of statistical equilibrium in a~system coupled to a~thermal bath
\jour TMF
\yr 1974
\vol 21
\issue 3
\pages 367--375
\mathnet{http://mi.mathnet.ru/tmf3905}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 21
\issue 3
\pages 1208--1213
\crossref{https://doi.org/10.1007/BF01038099}
Linking options:
https://www.mathnet.ru/eng/tmf3905
https://www.mathnet.ru/eng/tmf/v21/i3/p367
This publication is cited in the following 1 articles:
S. B. Rutkevich, “Establishment of statistical equilibrium in a quantum chain of harmonic oscillators”, Theoret. and Math. Phys., 44:2 (1980), 732–737
Citation in format AMSBIB
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