Bose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap
Lauwers, J. ; Verbeure, A. ; Zagrebnov, V. A.
arXiv, 0303060 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-03-26
Classification:  Mathematical Physics 
@article{0303060,
     author = {Lauwers, J. and Verbeure, A. and Zagrebnov, V. A.},
     title = {Bose-Einstein Condensation for Homogeneous Interacting Systems with a
  One-Particle Spectral Gap},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0303060}
}

Lauwers, J.; Verbeure, A.; Zagrebnov, V. A. Bose-Einstein Condensation for Homogeneous Interacting Systems with a
  One-Particle Spectral Gap. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303060/