论文标题

bose气体中的bose pitaevskii限制:对某些严格结果的调查

Bose gases in the Gross-Pitaevskii limit: a survey of some rigorous results

论文作者

Schlein, Benjamin

论文摘要

我们回顾了一些关于GROSS-PITAEVSKII制度中Bose气体的数学工作。我们从Lieb,Seiringer和Yngvason的经典结果开始,在基态能量上,以及Lieb和Seiringer对Bose-Einstein凝结的存在。之后,我们根据Bogoliubov理论的严格版本讨论了一些最新的进展。

We review some mathematical work on the Bose gas in the Gross-Pitaevskii regime. We start with the classical results by Lieb, Seiringer and Yngvason on the ground state energy and by Lieb and Seiringer on the existence of Bose-Einstein condensation. Afterwards, we discuss some more recent progress, based on a rigorous version of Bogoliubov theory.

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