Equilibrium states for the Bose gas
Vandevenne, L. ; Verbeure, A. ; Zagrebnov, V. A.
arXiv, 0307031 / Harvested from arXiv
Text on arXiv
The generating functional of the cyclic representation of the CCR (Canonical Commutation Relations) representation for the thermodynamic limit of the grand canonical ensemble of the free Bose gas with attractive boundary conditions is rigorously computed. We use it to study the condensate localization as a function of the homothety point for the thermodynamic limit using a sequence of growing convex containers. The Kac function is explicitly obtained proving non-equivalence of ensembles in the condensate region in spite of the condensate density being zero locally.
Publié le : 2003-07-15
Classification:  Mathematical Physics 
@article{0307031,
     author = {Vandevenne, L. and Verbeure, A. and Zagrebnov, V. A.},
     title = {Equilibrium states for the Bose gas},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307031}
}

Vandevenne, L.; Verbeure, A.; Zagrebnov, V. A. Equilibrium states for the Bose gas. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307031/