Systems with separable many-particle interactions. I

In this paper we give an exact evaluation of the free energy per particle for systems with separable many-particle interactions described by a hamiltonian of the type ℋ = ∑kT(k) + NP (N-1 ∑kV(k)), where P is an arbitrary polynomial. In the proof use is made of a fundamental theorem due to Bogoliubov...

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Bibliographic Details
Published in:Physica A 1976, Vol.85 (1), p.51-70
Main Authors: den Ouden, L.W.J., Capel, H.W., Perk, J.H.H., Tindemans, P.A.J.
Format: Article
Language:English
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Summary:In this paper we give an exact evaluation of the free energy per particle for systems with separable many-particle interactions described by a hamiltonian of the type ℋ = ∑kT(k) + NP (N-1 ∑kV(k)), where P is an arbitrary polynomial. In the proof use is made of a fundamental theorem due to Bogoliubov Jr. for ferromagnetic quadratic operators. The free energy can be obtained from a trial hamiltonian, which is linear in the operators T and V.
ISSN:0378-4371
1873-2119
DOI:10.1016/0378-4371(76)90118-7