Proof of Bose-Einstein condensation for dilute trapped gases

Elliott Lieb, Robert Seiringer

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Abstract

The Bose-Einstein condensation (BEC) of the ground state of bosonic atoms in a trap was discussed. The BEC was proved for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrodinger equation. The BEC was 100% into the state which minimized the Gross-Pitaevskii energy functional. The analysis also included rigorous proof of BEC in a physically realistic, continuum model.

Original languageEnglish (US)
Pages (from-to)1704091-1704094
Number of pages4
JournalPhysical review letters
Volume88
Issue number17
StatePublished - Apr 29 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Lieb, E., & Seiringer, R. (2002). Proof of Bose-Einstein condensation for dilute trapped gases. Physical review letters, 88(17), 1704091-1704094.