On Ground States of the Bogoliubov Energy Functional: A Direct Proof
Mathematical Physics
2021-07-28 v3 math.MP
Abstract
The Bogoliubov energy functional proposed recently by Napi\'orkowski, Reuvers and Solovej is revisited. We offer a direct proof of the existence of minimizers at zero temperature, which covers a significantly larger class of interaction potentials. The ideas used in this proof also imply that in any ground state, more than half of the particles are inside the Bose-Einstein condensate.
Keywords
Cite
@article{arxiv.2103.01672,
title = {On Ground States of the Bogoliubov Energy Functional: A Direct Proof},
author = {Jakob Oldenburg},
journal= {arXiv preprint arXiv:2103.01672},
year = {2021}
}
Comments
v3: Accepted manuscript. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. 16 pages. v2: 16 pages. Minor update: typos corrected, some editing, remark and reference added