Geodesic
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 
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/
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     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},
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     volume = {32},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_3_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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