{ "id": "math-ph/0210040", "version": "v4", "published": "2002-10-22T14:46:49.000Z", "updated": "2003-04-29T09:46:54.000Z", "title": "Diophantine approximation and the solubility of the Schroedinger equation", "authors": [ "Simon Kristensen" ], "comment": "7 pages, revised version", "journal": "Physics Letters A, Volume 314, Issues 1-2 , 21 July 2003 , Pages 15-18", "doi": "10.1016/S0375-9601(03)00867-3", "categories": [ "math-ph", "math.MP", "math.NT" ], "abstract": "We characterise the set of periods for which number theoretical obstructions prevent us from finding periodic solutions of the Schroedinger equation on a two dimensional torus as well as the asymptotic occurrence of possible resonances.", "revisions": [ { "version": "v4", "updated": "2003-04-29T09:46:54.000Z" } ], "analyses": { "subjects": [ "81Q05", "11K60" ], "keywords": [ "schroedinger equation", "diophantine approximation", "solubility", "number theoretical obstructions prevent", "finding periodic solutions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }