English

BEC for a Coupled Two-type Hard Core Bosons Model

Mathematical Physics 2015-06-26 v2 Statistical Mechanics math.MP

Abstract

We study a solvable model of two types hard core Bose particles. A complete analysis is given of its equilibrium states including the proof of existence of Bose-Einstein condensation. The plasmon frequencies and the quantum normal modes corresponding to these frequencies are rigorously constructed. In particular we show a two-fold degeneracy of these frequencies. We show that all this results from spontaneous gauge symmetry breakdown.

Keywords

Cite

@article{arxiv.math-ph/0003021,
  title  = {BEC for a Coupled Two-type Hard Core Bosons Model},
  author = {Joris Lauwers and Andre Verbeure},
  journal= {arXiv preprint arXiv:math-ph/0003021},
  year   = {2015}
}