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

Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Scopus citations

Abstract

The ground-state properties of interacting Host gases in external potentials, as considered in recent exptriments, 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)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages759-771
Number of pages13
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Lieb, E. H., Seiringer, R., & Yngvason, J. (2005). Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 759-771). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_47