The Bose gas in a box with Neumann boundary conditions
Mathematical Physics
2024-03-27 v1 math.MP
Abstract
We consider a gas of bosonic particles confined in a box with Neumann boundary conditions. We prove Bose-Einstein condensation in the Gross-Pitaevskii regime, with an optimal bound on the condensate depletion. Our lower bound for the ground state energy in the box implies (via Neumann bracketing) a lower bound for the ground state energy of the Bose gas in the thermodynamic limit.
Keywords
Cite
@article{arxiv.2205.15284,
title = {The Bose gas in a box with Neumann boundary conditions},
author = {Chiara Boccato and Robert Seiringer},
journal= {arXiv preprint arXiv:2205.15284},
year = {2024}
}
Comments
45 pages