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.
Bose–Einstein condensation on hyperbolic spaces
Note: This paper is part of the Special Collection: XX International Congress on Mathematical Physics.
Marius Lemm, Oliver Siebert; Bose–Einstein condensation on hyperbolic spaces. J. Math. Phys. 1 August 2022; 63 (8): 081903. https://doi.org/10.1063/5.0088383
Download citation file: