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

Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

Published 1999-11-19Version 1

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.

Comments: 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
Categories: math-ph, cond-mat, math.MP
Subjects: 81V70, 35Q55, 46N50
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