Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional

Details Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional

1999-08-26

arxiv.org/abs/math-ph/9908027v1

Phys.Rev. A61 (2000) 043602

Physics

Mathematical Physics

30 pages, latex2e, no figures

Scientific paper

10.1103/PhysRevA.61.043602

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 the first 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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