Systems with separable many-particle interactions. I

L.W.J. den Ouden, H.W. Capel, J.H.H. Perk and P.A.J. Tindemans

Physica A: Statistical Mechanics and its Applications, 1976, vol. 85, issue 1, 51-70

Abstract: 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 ∑k V(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.

Date: 1976
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:85:y:1976:i:1:p:51-70

DOI: 10.1016/0378-4371(76)90118-7

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