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

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The Stability of Matter: From Atoms to Stars

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.

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References

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Author information

Authors and Affiliations

  1. Department of Physics and Department of Mathematics, Jadwin Hall, Princeton University, P.O. Box 708, Princeton, New Jersey, 08544, USA

    Elliott H. Lieb

  2. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A 1090, Vienna, Austria

    Robert Seiringer & Jakob Yngvason

Authors
  1. Elliott H. Lieb
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  2. Robert Seiringer
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  3. Jakob Yngvason
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090, Wien, Austria

    Walter Thirring

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© 2001 Springer-Verlag Berlin Heidelberg

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Lieb, E.H., Seiringer, R., Yngvason, J. (2001). Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04360-8_45

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  • DOI: https://doi.org/10.1007/978-3-662-04360-8_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-04362-2

  • Online ISBN: 978-3-662-04360-8

  • eBook Packages: Springer Book Archive

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