The ground state of bosonie atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrödinger equation; the condensation is 100% into the state that minimizes the Gross-Pitaevskii energy functional This is the first, rigorous proof of BEC in a physically realistic, continuum model. © 2005 Springer-Verlag Berlin Heidelberg New York.
CITATION STYLE
Lieb, E. H., & Seiringer, R. (2005). Proof of Bose-Einstein condensation for dilute trapped gases. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 899–902). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_52
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