Bose-Einstein Condensation of Dilute Gases in Traps
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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.
To appear in the proceedings of the UAB2002 conference at Birmingham, Alabama
To appear in the proceedings of the UAB2002 conference at Birmingham, Alabama