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

Bose gases in the Gross-Pitaevskii limit: a survey of some rigorous results (Q2164155)

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Bose gases in the Gross-Pitaevskii limit: a survey of some rigorous results
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    Bose gases in the Gross-Pitaevskii limit: a survey of some rigorous results (English)
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    12 August 2022
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    Summary: 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. For the entire collection see [Zbl 1491.46003].
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    Bogoliubov theory
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