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  Citation Number 2
 Views 24
 Downloands 1
The Fractional Schrödinger Equation with the Generalized Woods-Saxon Potential
2023
Journal:  
East European Journal of Physics
Author:  
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 α=β=1. Therefore, the present results play important role in molecular chemistry and nuclear physics.

Keywords:

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East European Journal of Physics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 731
Cite : 78
2023 Impact : 0.115
Quarter
Basic Field of Science and Mathematics
Q3
70/135

East European Journal of Physics