A perturbed mean field model of an interacting boson gas and the large deviation principle

M. van den Berg, T. C. Dorlas, J. T. Lewis, J. V. Pulé

Research output: Contribution to journalArticle

Abstract

This is a study of the equilibrium thermodynamics of a mean-field model of an interacting boson gas perturbed by a term quadratic in the occupation numbers of the free-gas energy-levels. We prove the existence of the pressure in the thermodynamic limit. We obtain also a variational formula for the pressure; this enables us to compare the effect of a smooth quadratic perturbation with that of a singular one (the Huang-Yang-Luttinger model). The proof uses a large deviation result for the occupation measure of the free boson gas which is of independent interest. © 1990 Springer-Verlag.

Original languageEnglish
Pages (from-to)41-69
Number of pages29
JournalCommunications in Mathematical Physics
Volume127
Issue number1
DOIs
Publication statusPublished - Jan 1990

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