Systems with separable many-particle interactions. I |
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Authors: | LWJ den Ouden HW Capel JHH Perk PAJ Tindemans |
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Institution: | Instituut-Lorentz voor Theoretische Natuurkunde, Rijksuniversiteit te Leiden, Leiden, The Netherlands;Ministerie van Onderwijs en Wetenschappen, Den Haag, The Netherlands |
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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 ? = ∑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. |
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