{ "id": "cond-mat/9804218", "version": "v1", "published": "1998-04-20T17:22:35.000Z", "updated": "1998-04-20T17:22:35.000Z", "title": "Bose-Einstein condensation under external conditions", "authors": [ "Klaus Kirsten", "David J. Toms" ], "comment": "11 pages, LaTeX, to appear in Phys. Lett. A", "doi": "10.1016/S0375-9601(98)00264-3", "categories": [ "cond-mat.stat-mech" ], "abstract": "We discuss the phenomenon of Bose-Einstein condensation under general external conditions using connections between partition sums and the heat-equation. Thermodynamical quantities like the critical temperature are given in terms of the heat-kernel coefficients of the associated Schr\\\"odinger equation. The general approach is applied to situations where the gas is confined by arbitrary potentials or by boxes of arbitrary shape.", "revisions": [ { "version": "v1", "updated": "1998-04-20T17:22:35.000Z" } ], "analyses": { "keywords": [ "bose-einstein condensation", "general external conditions", "partition sums", "heat-kernel coefficients", "general approach" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }