We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.

中文翻译：

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Gross-Pitaevskii 体系中玻色气体的激发光谱

我们考虑一种相互作用的玻色子气体，它们被困在一个边长为格罗斯-皮塔耶夫斯基极限的盒子里。我们回顾了 Bogoliubov 对基态能量和低能激发光谱的预测有效性的证明。本说明基于与 C. Brennecke、S. Cenatiempo 和 B. Schlein 的联合工作。