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arXiv · 1606.08035

Analytical Solutions Of The Schr\"{o}dinger Equation For The Hulth\'en Potential Within SUSY Quantum Mechanics

H. I. Ahmadov·Sh. I. Jafarzade·M. V. Qocayeva
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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.

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H. I. Ahmadov, Sh. I. Jafarzade, M. V. Qocayeva. 2016-06-26. Analytical Solutions Of The Schr\"{o}dinger Equation For The Hulth\'en Potential Within SUSY Quantum Mechanics. https://doi.org/10.1142/s0217751x15501936

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