Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
Mathematical Physics
2009-10-31 v1 Condensed Matter
math.MP
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 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.
Keywords
Cite
@article{arxiv.math-ph/9908027,
title = {Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional},
author = {Elliott H. Lieb and Robert Seiringer and Jakob Yngvason},
journal= {arXiv preprint arXiv:math-ph/9908027},
year = {2009}
}
Comments
30 pages, latex2e, no figures