03-412 Lieselot Vandevenne, Andre Verbeure, Valentin A.Zagrebnov

Generating functionals for Bose gas with attractive boundary conditions (310K, Postscript) Sep 10, 03

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Abstract. The generating functional of the cyclic representation of the CCR (Canonical Commutation Relations) representation for the thermodynamic limit of the grand canonical ensemble of the free Bose gas with attractive boundary conditions is rigorously computed. We use it to study the condensate localization as a function of the homothety point for thermodynamic limit via sequence of growing convex containers. The Kac function is explicitly obtained proving non-equivalence of ensembles in the condensate region in spite of the zero condensate density in the bulk.

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