Calculation of the free energy of a system of two-particle clusters
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 291-304 Cet article a éte moissonné depuis la source Math-Net.Ru

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Hubbard operators are used to find a convenient form for the Hamiltonian of a system of interacting two-particle clusters. The partition function of the system is represented in the form of a functional integral with respect to field variables, The coefficients that determine the non-Gaussian distribution of the phases of the density fluctuation of the spin moment in the free energy functional are calculated. An expression for the free energy of the system is obtained in the Gaussian approximation.
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N. A. Korinevskii. Calculation of the free energy of a system of two-particle clusters. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 291-304. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a12/

[1] Vaks V. G., Vvedenie v mikroskopicheskuyu teoriyu segnetoelektrikov, Nauka, M., 1973, 327 pp.

[2] Vakarchuk I. V., Rudavsky Yu. K., Free energy representation of quantum Heisenberg model as functional integral, Preprint ITP-79-62E, ITP, Kiev, 1979, 61 pp.

[3] Korinevskii N. A., Funktsional svobodnoi energii sistemy dvukhchastichnykh klasterov, Preprint ITF-82-4R, ITF, Kiev, 1982, 36 pp.

[4] Korinevskii N. A., Funktsii Grina sistemy dvukhchastichnykh klasterov, Preprint ITF-81-25R, ITF, Kiev, 1981, 21 pp.

[5] Stasyuk I. V., Levitskii R. R., Korinevskii N. A., Dinamika protonov v soedineniyakh tipa KDR v klasternom priblizhenii, Preprint ITF-75-121R, ITF, Kiev, 1975, 24 pp. | MR

[6] Hubbard J., Proc. Roy. Soc., A285 (1965), 542–560 | DOI | MR

[7] Levitsky R. R., Korynevsky N. A., Stasyuk I. V., Phys. Stat. Sol. (b), 88 (1978), 51–63 | DOI

[8] Stasyuk I. V., Slobodyan P. M., Diagrammnaya tekhnika dlya operatorov Khabbarda i ee primenenie v teorii magnetizma, Preprint ITF-73-136, ITF, Kiev, 1973, 28 pp.

[9] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971, 1108 pp. | MR