The Fractional Schrodinger Equation with the Generalized Woods-Saxon Potential
arXiv:2302.03060 · doi:10.26565/2312-4334-2023-1-06
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.
arXiv comment10 pages and 1 figure
References in corpus (13)
- Fractional Quantum Mechanics and Levy Path Integrals
- Fractional Quantum Mechanics
- Polynomial Solutions of Shcrodinger Equation with the Generalized Woods Saxon Potential
- Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry
- Quasi-elastic scattering and fusion with a modified Woods-Saxon potential
- Heavy-Light Mesons in the Non-Relativistic Quark Model Using Laplace Transformation Method
- Dissociation of Quarkonium in hot and Dense Media in an Anisotropic Plasma in the Non-Relativistic Quark Model
- Time independent fractional Schrodinger equation for generalized Mie-type potential in higher dimension framed with Jumarie type fractional derivative
- A Study of Fractional Schrodinger Equation-composed via Jumarie fractional derivative
- Heavy-Meson Masses in the Framework of Trigonometric Rosen-Morse Potential Using the Generalized Fractional Derivative
- Quarkonium Masses in a hot QCD Medium Using Conformable Fractional of the Nikiforov-Uvarov Method
- Ground States of the Hydrogen Molecule and Its Molecular Ion in the Presence of Magnetic Field Using the Variational Monte Carlo Method
- Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics