{ "id": "quant-ph/0603042", "version": "v1", "published": "2006-03-06T12:49:32.000Z", "updated": "2006-03-06T12:49:32.000Z", "title": "Perturbation hydrogen-atom spectrum in deformed space with minimal length", "authors": [ "M. M. Stetsko", "V. M. Tkachuk" ], "comment": "9 pages, 3 figures", "journal": "Phys. Rev. A. 74, 012101, 2006", "doi": "10.1103/PhysRevA.74.012101", "categories": [ "quant-ph" ], "abstract": "We study energy spectrum for hydrogen atom with deformed Heisenberg algebra leading to minimal length. We develop correct perturbation theory free of divergences. It gives a possibility to calculate analytically in the 3D case the corrections to $s$-levels of hydrogen atom caused by the minimal length. Comparing our result with experimental data from precision hydrogen spectroscopy an upper bound for the minimal length is obtained.", "revisions": [ { "version": "v1", "updated": "2006-03-06T12:49:32.000Z" } ], "analyses": { "keywords": [ "minimal length", "perturbation hydrogen-atom spectrum", "deformed space", "hydrogen atom", "correct perturbation theory free" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1294887 } } }