This article is cited in 2 papers

Aspects of the study of model Hamiltonians of statistical physics I. Basic theorems for the free energy

A. M. Kurbatov, S. S. Lapushkin


Abstract: 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].

Received: 16.01.1974

 English version: Theoretical and Mathematical Physics, 1974, 21:1, 1003–1008

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