We present a fresh look at the methods introduced by Boccato, Brennecke, Cenatiempo, and Schlein [Commun. Math. Phys. 359(3), 975–1026 (2018); Acta Math. 222(2), 219–335 (2019); Commun. Math. Phys. 376, 1311 (2020)] concerning the trapped Bose gas and give a conceptually very simple and concise proof of Bose–Einstein condensation in the Gross–Pitaevskii limit for small interaction potentials.

中文翻译：

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GP-limit 中 BEC 的另一个证明

我们重新审视了 Boccato、Brennecke、Cenatiempo 和 Schlein [Commun. 数学。物理。359 (3), 975–1026 (2018)；数学学报。222（2）、219-335（2019）；社区。数学。物理。376 , 1311 (2020)] 关于被困玻色气体，并在概念上非常简单和简洁地证明了小相互作用势的 Gross-Pitaevskii 极限中的 Bose-Einstein 凝聚。