Proof of Bose-Einstein Condensation for Interacting Gases with a One-Particle Spectral Gap
arXiv:math-ph/0205037 · doi:10.1088/0305-4470/36/11/102
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.
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