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 language | English |
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Pages (from-to) | 41-69 |
Number of pages | 29 |
Journal | Communications in Mathematical Physics |
Volume | 127 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 1990 |