Proof of Bose-Einstein Condensation for Dilute Trapped Gases

Elliott H. Lieb, Robert Seiringer

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


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)
Pages (from-to)4
Number of pages1
JournalPhysical review letters
Issue number17
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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