Proof of Bose-Einstein Condensation for Dilute Trapped Gases

Elliott H. Lieb, Robert Seiringer

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrödinger equation; the condensation is [Formula presented] into the state that minimizes the Gross-Pitaevskii energy functional. This is the first rigorous proof of BEC in a physically realistic, continuum model.

Original languageEnglish (US)
Number of pages1
JournalPhysical review letters
Volume88
Issue number17
DOIs
StatePublished - Jan 1 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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