2002/10/13 by Elliott H. Lieb, Robert Seiringer
Physics and Astronomy · Mathematics · #math-ph #math.MP
published as Advances in Differential Equations and Mathematical Physics, pp. 239-250, Amer. Math. Soc. (2003) · To appear in the proceedings of the UAB2002 conference at Birmingham, Alabama
arxiv created 2002/10/13 · arxiv updated 2009/11/30
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.