Bose–Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap |
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Authors: | J Lauwers A Verbeure V A Zagrebnov |
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Institution: | (1) Instituut voor Theoretische Fysika, Katholieke Universiteit Leuven, Celestijnenlaan 200D, 3001 Leuven, Belgium;(2) Université de la Méditerranée and Centre de Physique Théorique, CNRS-Luminy-Case 907, 13288 Marseille, Cedex 09, France |
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Abstract: | We prove rigorously the occurrence of zero-mode Bose–Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous Bose-system, where the existence of the Bose–Einstein condensation is proved rigorously for the case of non-trivial two-body particle interactions, provided there is a large enough one-particle excitations spectral gap. The idea of proof consists of comparing the system with specially tuned soluble models. |
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Keywords: | Bose– Einstein condensation superstable potentials one-particle excitations |
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