Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
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.
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