Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials

Abstract

We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solutions within the framework of the position-dependent effective mass radial Klein-Gordon equation with the scalar and vector Hulthén potentials in any arbitrary $D$ dimension and orbital angular momentum quantum numbers $l.$ The Nikiforov-Uvarov (NU) method is used in the calculations. The relativistic real energy levels and corresponding eigenfunctions for the bound states with different screening parameters have been given in a closed form. It is found that the solutions in the case of constant mass and in the case of s-wave ($l=0$) are identical with the ones obtained in literature.

25 pages, 1 figure

References in corpus (11)

• Any $l$-state solutions of the Hulthén potential by the asymptotic iteration method
• Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method
• The Klein-Gordon equation with a generalized Hulthen potential in D-dimensions
• Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
• Solution of the D-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential
• Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential
• Polynomial Solution of Non-Central Potentials
• (1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric
• Exact solution of Schrodinger equation for modified Kratzer's molecular potential with the position-dependent mass
• Relativistic treatment in D-dimensions to a spin-zero particle with noncentral equal scalar and vector ring-shaped Kratzer potential
• Calculation of the B_{c}leptonic decay constant using the shifted N-expansion method

Cited by in corpus (2)

• Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
• Approximate analytic solutions of the diatomic molecules in the Schrodinger equation with hyperbolical potentials