Calculation of equilibrium mean values in a~system of molecules interacting with a~radiation field
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 3, pp. 410-415
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Method of calculating the temperature averages of collective variables in the system
of $N$ many-level moleculi interacting with radiation field is suggested. Decomposition
of the space of states of the moleculi over the subspaces of irreducible representations
of the group $U(n)$ is used. Calculations are performed in the basis of the coherent
states of the unitary group, which are the quasiclassical states of the radiators in the
limit $N\to\infty$. An unexpected statistical interpretation of some group-theoretical quantities
is obtained. The method proposed for calculating the averages is used for determining
the conditions of the phase transition into spontaneous coherent state.
@article{TMF_1977_32_3_a11,
author = {V. V. Zverev},
title = {Calculation of equilibrium mean values in a~system of molecules interacting with a~radiation field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {410--415},
publisher = {mathdoc},
volume = {32},
number = {3},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_3_a11/}
}
TY - JOUR AU - V. V. Zverev TI - Calculation of equilibrium mean values in a~system of molecules interacting with a~radiation field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1977 SP - 410 EP - 415 VL - 32 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1977_32_3_a11/ LA - ru ID - TMF_1977_32_3_a11 ER -
V. V. Zverev. Calculation of equilibrium mean values in a~system of molecules interacting with a~radiation field. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 3, pp. 410-415. http://geodesic.mathdoc.fr/item/TMF_1977_32_3_a11/