Bose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap
Mathematical Physics
2007-05-23 v2 math.MP
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.
Cite
@article{arxiv.math-ph/0303060,
title = {Bose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap},
author = {J. Lauwers and A. Verbeure and V. A. Zagrebnov},
journal= {arXiv preprint arXiv:math-ph/0303060},
year = {2007}
}