Bose-Einstein Condensation of Dilute Gases in Traps

Details Bose-Einstein Condensation of Dilute Gases in Traps Bose-Einstein Condensation of Dilute Gases in Traps

2002-10-13

arxiv.org/abs/math-ph/0210028v1

Advances in Differential Equations and Mathematical Physics, pp. 239-250, Amer. Math. Soc. (2003)

Physics

Mathematical Physics

To appear in the proceedings of the UAB2002 conference at Birmingham, Alabama

Scientific paper

The ground state of a gas of Bosons confined in an external trap potential and interacting via repulsive two-body forces has recently been shown to exhibit complete Bose-Einstein condensation in the dilute limit, yielding for the first time a rigorous proof of this phenomenon in a physically realistic setting. We give here an account of this work about the Gross-Pitaevskii limit where the particle number $N$ goes to infinity with $Na$ fixed, where $a$ is the scattering length of the interparticle interaction, measured in units of the trap size.

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