Proof of Bose-Einstein Condensation for Interacting Gases with a One-Particle Spectral Gap

Details Proof of Bose-Einstein Condensation for Interacting Gases with a One-Particle Spectral Gap Proof of Bose-Einstein Condensation for Interacting Gases with a One-Particle Spectral Gap

2002-05-23

arxiv.org/abs/math-ph/0205037v3

J. Phys. A 36 (2003) L169-L174

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/36/11/102

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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