{ "id": "1606.08035", "version": "v1", "published": "2016-06-26T13:37:06.000Z", "updated": "2016-06-26T13:37:06.000Z", "title": "Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics", "authors": [ "H. I. Ahmadov", "Sh. I. Jafarzade", "M. V. Qocayeva" ], "comment": "22 pages, 2 tables. arXiv admin note: substantial text overlap with arXiv:1210.5377", "journal": "Int.J.Mod.Phys. A30(2015)1550193", "categories": [ "math-ph", "math.MP" ], "abstract": "The analytical solution of the modified radial Schr\\\"{o}dinger equation for the Hulth\\'en potential is obtained within ordinary quantum mechanics by applying the Nikiforov-Uvarov method and supersymmetric quantum mechanics by applying the shape invariance consept that was introduced by Gendenshtein method by using the improved approximation scheme to the centrifugal potential for arbitrary $l$ states. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary $l$ states.", "revisions": [ { "version": "v1", "updated": "2016-06-26T13:37:06.000Z" } ], "analyses": { "keywords": [ "susy quantum mechanics", "analytical solution", "schrödinger equation", "hulthén potential", "ordinary quantum mechanics" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }