Bose gases in the Gross–Pitaevskii limit: A survey of some rigorous results
Benjamin SchleinUniversität Zürich, Switzerland
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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.