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Analytical solutions of the Schrödinger equation for the Hulthén potential within SUSY quantum mechanics

Department of Equation of Mathematical Physics, Faculty of Applied Mathematics and Cybernetics, Baku State University, Z. Khalilov st. 23, AZ-1148 Baku, Azerbaijan

E-mail Address: hikmatahmadov@yahoo.com

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Sh. I. Jafarzade

Particle Physics Research Group, Institute of Radiation Problems, B. Vahabzade str., 9, AZ-1143 Baku, Azerbaijan

E-mail Address: shahriyarjafarzade@gmail.com

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M. V. Qocayeva

Institute of Physics, Azerbaijan National Academy of Sciences, H. Javid Avenue, 131, AZ-1143 Baku, Azerbaijan

E-mail Address: mefkureqocayeva@yahoo.com

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https://doi.org/10.1142/S0217751X15501936Cited by:24 (Source: Crossref)

Abstract

The analytical solution of the modified radial Schrödinger 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 concept 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.

Keywords:

PACS: 03.65.Ge

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