The Fractional Schrodinger Equation with the Generalized Woods-Saxon Potential

• URL: http://arxiv.org/abs/2302.03060v1
• Date: Fri, 20 Jan 2023 10:14:54 GMT
• Title: The Fractional Schrodinger Equation with the Generalized Woods-Saxon Potential
• Authors: M. Abu-Shady and Etido P. Inyang
• Abstract summary: The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods-Saxon potential are studied. Results play important role in molecular chemistry and nuclear physics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The bound state energy eigenvalues and the corresponding eigenfunctions of the generalized Woods-Saxon potential reported in [Phys. Rev. C 72, 027001 (2005)] is extended to the fractional forms using the generalized fractional derivative and the fractional Nikiforov-Uvarov (NU) technique. Analytical solutions of bound states of the Schrodinger equation for the present potential are obtained in the terms of fractional Jacobi polynomials. It is demonstrated that the classical results are a special case of the present results at Elfa=Beta=1 Therefore, the present results play important role in molecular chemistry and nuclear physics.

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