论 Bogoliubov 能量泛函的基态：一个直接证明
数学物理
2021-07-28 v3 math.MP
摘要
我们重访了最近由 Napiórkowski、Reuvers 和 Solovej 提出的 Bogoliubov 能量泛函。我们给出了零温下极小元存在的直接证明，该证明涵盖了一类显著更大的相互作用势。此证明中所用的思想还意味着，在任意基态中，超过一半的粒子位于玻色-爱因斯坦凝聚体内。
引用
@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}
}
备注
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