Bose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap

Details Bose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap Bose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap

2003-03-26

arxiv.org/abs/math-ph/0303060v2

J. Stat. Phys. 112 (2003) 397-420

Physics

Mathematical Physics

Scientific paper

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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