Bose-Einstein condensation on hyperbolic spaces
Mathematical Physics
2022-08-30 v2 Quantum Gases
math.MP
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.
Cite
@article{arxiv.2202.01538,
title = {Bose-Einstein condensation on hyperbolic spaces},
author = {Marius Lemm and Oliver Siebert},
journal= {arXiv preprint arXiv:2202.01538},
year = {2022}
}
Comments
27 pages, v1->v2: minor changes and added references