{ "id": "math-ph/9911026", "version": "v1", "published": "1999-11-19T15:58:01.000Z", "updated": "1999-11-19T15:58:01.000Z", "title": "The Ground State Energy and density of Interacting Bosons in a Trap", "authors": [ "Elliott H. Lieb", "Robert Seiringer", "Jakob Yngvason" ], "comment": "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" ], "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.", "revisions": [ { "version": "v1", "updated": "1999-11-19T15:58:01.000Z" } ], "analyses": { "subjects": [ "81V70", "35Q55", "46N50" ], "keywords": [ "ground state energy", "interacting bosons", "mechanical many-body ground state problem", "quantum mechanical many-body ground state", "gross-pitaevskii equation plays" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math.ph..11026L" } } }