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

2000/03/06 by Elliott H. Lieb, Élliott H. Lieb, Robert Seiringer +1 · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions

paper · doi:10.1103/physreva.61.043602

openalex publication_date 2000/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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