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

Élliott H. Lieb, Robert Seiringer, Jakob Yngvason

Type: Article

Publication Date: 2000-03-06

Citations: 325

DOI: https://doi.org/10.1103/physreva.61.043602

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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