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The Ground State Energy and density of Interacting Bosons in a Trap

1999/11/19 by Elliott H. Lieb, Robert Seiringer, Lieb, Elliott H. +3
Mathematics · Physics and Astronomy · #35Q55 #46N50 #81V70 #Condensed Matter (cond-mat) #FOS: Physical sciences #Mathematical Physics (math-ph) #cond-mat #math-ph #math.MP #msc:35Q55 #msc:46N50 #msc:81V70

paper · pdf · doi:10.48550/arxiv.math-ph/9911026

For the Proceedings of `Quantum Theory and Symmetries' (Goslar, 18-22 July 1999) (World Scientific, 2000), edited by H.-D. Doebner, V.K. Dobrev, J.-D. Hennig and W. Luecke

arxiv created 1999/11/19 · arxiv updated 2009/11/30

Abstract

In the theoretical description of recent experiments with dilute Bose gases confined in external potentials the Gross-Pitaevskii equation plays an important role. Its status as an approximation for the quantum mechanical many-body ground state problem has recently been rigorously clarified. A summary of this work is presented here.

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