Analytical Solutions Of The Schr\"{o}dinger Equation For The Hulth\'en Potential Within SUSY Quantum Mechanics
Mathematical Physics
2016-07-06 v1 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 states. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary states.
Keywords
Cite
@article{arxiv.1606.08035,
title = {Analytical Solutions Of The Schr\"{o}dinger Equation For The Hulth\'en Potential Within SUSY Quantum Mechanics},
author = {H. I. Ahmadov and Sh. I. Jafarzade and M. V. Qocayeva},
journal= {arXiv preprint arXiv:1606.08035},
year = {2016}
}
Comments
22 pages, 2 tables. arXiv admin note: substantial text overlap with arXiv:1210.5377