Geodesic
Method of statistical operators in the theory of crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 424-430 Cet article a éte moissonné depuis la source Math-Net.Ru

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In [1], a classical statistical theory of a crystal with allowance for the correlations between the motions of its particles was constructed. In the present paper, we consider the quantum case of the statistical thermodynamics of the correlation theory of the crystal state with two-body interaction between particles on the basis of Bogolyubov's method of statistical operators. It is possible to estimate the contribution of the correlation terms and determine the region of applicability of the self-consistent field approximation. The method of statisticaI operators enables one in conjunction with the variational principle to take into account consistently the correction terms to the basic approximation of multiplicity of the binary density matrix. 
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     title = {Method of statistical operators in the theory of crystals},
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I. P. Bazarov; P. N. Nikolaev. Method of statistical operators in the theory of crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 424-430. http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a12/

[1] I. P. Bazarov, P. N. Nikolaev, TMF, 31 (1977), 256

[2] N. N. Bogolyubov, Izbr. trudy, t. 2, «Naukova dumka», Kiev, 1970 | MR

[3] I. P. Bazarov, P. N. Nikolaev, Vestn. MGU, ser. fizika, astron., 3 (1978), 59 | MR

[4] S. V. Tyablikov, ZhETF, 18 (1948), 368 | MR

[5] I. P. Bazarov, E. V. Gevorkyan, V. V. Kotenok, Statisticheskaya teoriya polimorfnykh prevraschenii, MGU, 1978

[6] R. Feinman, Statisticheskaya mekhanika, «Mir», 1978

[7] I. P. Bazarov, Statisticheskaya teoriya kristallicheskogo sostoyaniya, MGU, 1972

[8] Tablitsy fizicheskikh velichin, «Atomizdat», 1976