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

Benjamin Schlein

Type: Book-Chapter

Publication Date: 2022-06-29

Citations: 6

DOI: https://doi.org/10.4171/90-2/40

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.

Locations

arXiv (Cornell University) - View - PDF
EMS Press eBooks - View

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