Geodesic
Aspects of the study of model Hamiltonians of statistical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 1, pp. 103-110 
A. M. Kurbatov; S. S. Lapushkin. Aspects of the study of model Hamiltonians of statistical physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 1, pp. 103-110. http://geodesic.mathdoc.fr/item/TMF_1974_21_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The methods developed by N. N. Bogolyubov (Jr.) to study model systems of statistical physics with four-fermion interaction are used to study a system with a Hamiltonian of general form in which the dynamical operators are not particularized but one requires the fulfilment of certain very general conditions. Special cases of this system are the BCS model in the theory of superfluidity and models of ferromagnets of Heisenberg and Ising type. Theorems are proposed for the free energy of such a model system, these generalizing the known theorems [4, 5].

[1] N. N. Bogolyubov, ZhETF, 34 (1958), 58 ; ЖЭТФ, 39 (1960), 120 | Zbl | MR

[2] N. N. Bogolyubov, Preprint P-511, OIYaI, 1960 | MR

[3] N. N. Bogolyubov, Preprint D-781, OIYaI, 1961 | MR

[4] N. N. Bogolubov (Jr.), Physica, 32 (1966), 933 | DOI | MR

[5] N. N. Bogolubov (Jr.), A Method for Studying Model Hamiltonians, International series of monographs in natural philosophy, 43, Pergamon Press, Oxford, 1972

[6] N. N. Bogolubov (Jr.), A. S. Shumovsky, Indian J. Pure and Appl. Phys, 8 (1970), 121; Phys. Lett., 35A (1971), 380 | DOI

[7] A. S. Shumovskii, Kand. diss., MGU, 1971

[8] I. G. Brankov, Preprint P4-6998, OIYaI, 1973

[9] V. A. Zagrebnov, I. G. Brankov, Preprint P4-7097, OIYaI, 1973

[10] N. N. Bogolyubov (ml.), TMF, 13 (1972), 131