Proof of Bose-Einstein Condensation for Interacting Gases with a One-Particle Spectral Gap
Mathematical Physics
2009-11-07 v3 Statistical Mechanics
math.MP
Abstract
Using a specially tuned mean-field Bose gas as a reference system, we establish a positive lower bound on the condensate density for continuous Bose systems with superstable two-body interactions and a finite gap in the one-particle excitations spectrum, i.e. we prove for the first time standard homogeneous Bose-Einstein condensation for such interacting systems.
Keywords
Cite
@article{arxiv.math-ph/0205037,
title = {Proof of Bose-Einstein Condensation for Interacting Gases with a One-Particle Spectral Gap},
author = {J. Lauwers and A. Verbeure and V. A. Zagrebnov},
journal= {arXiv preprint arXiv:math-ph/0205037},
year = {2009}
}