Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional

Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

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Abstract

The ground-state properties of interacting Bose gases in external potentials, as considered in recent experiments, are usually described by means of the Gross-Pitaevskii energy functional. We present here a rigorous proof of the asymptotic exactness of this approximation for the ground-state energy and particle density of a dilute Bose gas with a positive interaction.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume61
Issue number4
DOIs
StatePublished - Jan 1 2000

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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