Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics

The analytical solution of the modified radial Schr\"{o}dinger equation for the Hulthén 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 Gendenshte...

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Bibliographic Details
Published in:arXiv.org 2016-06
Main Authors: Ahmadov, H I, Jafarzade, Sh I, Qocayeva, M V
Format: Article
Language:English
Subjects:
Eigenvectors
Energy levels
Exact solutions
Mathematical analysis
Polynomials
Quantum mechanics
Quantum physics
Quantum theory
Schrodinger equation
Supersymmetry
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Summary:The analytical solution of the modified radial Schr\"{o}dinger equation for the Hulthén 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.
ISSN:2331-8422
DOI:10.48550/arxiv.1606.08035