{ "id": "1212.0208", "version": "v1", "published": "2012-12-02T13:48:12.000Z", "updated": "2012-12-02T13:48:12.000Z", "title": "Noncommutative of space-time and the relativistic Hydrogen atom", "authors": [ "Slimane Zaim", "Yazid Delenda" ], "comment": "10 pages. arXiv admin note: substantial text overlap with arXiv:1101.0355", "journal": "J. Phys.: Conf. Ser. 435 012020(2013)", "doi": "10.1088/1742-6596/435/1/012020", "categories": [ "math-ph", "math.MP" ], "abstract": "We study the Klein-Gordon equation in a non-commutative space-time as applied to the Hydrogen atom to extract the energy levels, by considering the second-order corrections in the non-commutativity paramete and by comparing to the 2S - 1S transition accuracy we get a bound on the parameter of noncommutativity. Phenomenologically we show that non-commutativity is the source of lamb shift corrections and spin electron.", "revisions": [ { "version": "v1", "updated": "2012-12-02T13:48:12.000Z" } ], "analyses": { "subjects": [ "03.65.-w", "11.10.Nx" ], "keywords": [ "relativistic hydrogen atom", "space-time", "lamb shift corrections", "1s transition accuracy", "non-commutativity paramete" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics Conference Series", "year": 2013, "month": "Apr", "volume": 435, "number": 1, "pages": "012020" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1205218, "adsabs": "2013JPhCS.435a2020Z" } } }