H. I. Ahmadov, Sh. I. Jafarzade, M. V. Qocayeva
Published 2016-06-26Version 1
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.
Comments: 22 pages, 2 tables. arXiv admin note: substantial text overlap with arXiv:1210.5377
Journal: Int.J.Mod.Phys. A30(2015)1550193
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