Analytic l-state solutions of the Klein-Gordon equation for q-deformed Woods-Saxon plus generalized ring shape potential

Abstract

The analytical expressions for the eigenvalues and eigenvectors of the Klein-Gordon equation for q-deformed Woods-Saxon plus new generalized ring shape potential are derived within the asymptotic iteration method. The obtained eigenvalues are given in a closed form and the corresponding normalized eigenvectors, for any l, are formulated in terms of the generalized Jacobi polynomials for the radial part of the Klein-Gordon equation and associated Legendre polynomials for its angular one. When the shape deformation is canceled, we recover the same solutions previously obtained by the Nikiforov-Uvarov method for the standard spherical Woods-Saxon potential. It is also shown that, from the obtained results, we can derive the solutions of this problem for Hulthen potential.

References in corpus (12)

• Asymptotic iteration method for eigenvalue problems
• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry
• Asymptotic Iteration method for singular potentials
• New exact solution of the one dimensional Dirac Equation for the Woods-Saxon potential within the effective mass case
• Nucleon-nucleus real potential of Woods-Saxon shape between -60 and +60 MeV for the 40<A<208 nuclei
• The Schrodinger equation with Hulthen potential plus ring-shaped potential
• Asymptotic iteration method for spheroidal harmonics of higher-dimensional Kerr-(A)dS black holes
• Iterative solution of a Dirac equation with inverse Hamiltonian method
• Scattering of Woods-Saxon Potential in Schrodinger Equation
• Solutions of Dirac Equation for Symmetric Generalized Woods-Saxon Potential by the Hypergeometric Method