BooksStandalone TitlesCollected Volumepp. 277–305

Bose gases in the Gross–Pitaevskii limit: A survey of some rigorous results

  • Benjamin Schlein

    Universität Zürich, Switzerland
Bose gases in the Gross–Pitaevskii limit: A survey of some rigorous results cover
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Abstract

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.