{ "id": "cond-mat/0105339", "version": "v2", "published": "2001-05-17T06:35:13.000Z", "updated": "2001-11-30T20:47:35.000Z", "title": "The kinetic and interaction energies of a trapped Bose gas: Beyond the mean field", "authors": [ "A. Yu. Cherny", "A. A. Shanenko" ], "comment": "5 pages, REVTeX, 1 figure inserted", "journal": "Phys. Lett. A 293, No 5-6, 287 (2002).", "doi": "10.1016/S0375-9601(02)00017-8", "categories": [ "cond-mat.stat-mech" ], "abstract": "The kinetic and interaction energies of a three-dimensional dilute ground-state Bose gas confined in a trap are calculated beyond a mean-field treatment. They are found to depend on the pairwise interaction trough two characteristic lengths: the first, a, is the well-known scattering length and the second, b, is related to the latter by b=a-\\lambda d a/d\\lambda with \\lambda being the coupling constant. Numerical estimations show that the pairwise interaction energy of a dilute gas of alkali atoms in a trap is negative (in spite of the positive scattering length); its absolute value is found by about the order of magnitude larger than that of the mean-field interaction energy that corresponds to the last term in the Gross-Pitaevskii functional.", "revisions": [ { "version": "v2", "updated": "2001-11-30T20:47:35.000Z" } ], "analyses": { "keywords": [ "interaction energy", "trapped bose gas", "mean field", "three-dimensional dilute ground-state bose gas", "scattering length" ], "tags": [ "journal article" ], "note": { "typesetting": "RevTeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }