Bose-Einstein condensation on hyperbolic spaces
arXiv:2202.01538 · doi:10.1063/5.0088383
Abstract
A well-known conjecture in mathematical physics asserts that the interacting Bose gas exhibits Bose-Einstein condensation (BEC) in the thermodynamic limit. We consider the Bose gas on certain hyperbolic spaces. In this setting, one obtains a short proof of BEC in the infinite-volume limit from the existence of a volume-independent spectral gap of the Laplacian.
27 pages, v1->v2: minor changes and added references