00-124 J. Lauwers, A. Verbeure
BEC for a Coupled Two-type Hard Core Bosons Model (42K, LATeX) Mar 23, 00
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Abstract. We study a solvable model of two hard core Bose particles. A complete analysis is given of its equilibrium states including the proof of existence of Bose-Einstein condensation. The plasmon frequencies and the quantum normal modes corresponding to these frequencies are rigorously constructed. In particular we show a two-fold degeneracy of these frequencies. We show that all this results from spontaneous gauge symmetry breakdown.

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