Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
Bosons in a Trap:A Rigorous Derivation of the
Gross-Pitaevskii Energy Functional
(61K, latex)
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.