{ "id": "math-ph/0212072", "version": "v1", "published": "2002-12-26T15:02:34.000Z", "updated": "2002-12-26T15:02:34.000Z", "title": "The power-law and the logarithmic potentials", "authors": [ "Hakan Ciftci", "Engin Ateser", "Hueyin Koru" ], "comment": "13 pages, 5 figures", "doi": "10.1088/0305-4470/36/13/313", "categories": [ "math-ph", "math.MP" ], "abstract": "In this study, we show that the energy eigenvalues and the eigenfunctions of the Schrodinger equation for the power-law and the logarithmic potential can be easily obtained by using variation technique for special type wave functions. The results are in very good agreement with exact numerical results.", "revisions": [ { "version": "v1", "updated": "2002-12-26T15:02:34.000Z" } ], "analyses": { "keywords": [ "logarithmic potential", "special type wave functions", "energy eigenvalues", "schrodinger equation", "variation technique" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2003, "month": "Apr", "volume": 36, "number": 13, "pages": 3821 }, "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003JPhA...36.3821C" } } }