Approximate Solutions of D-Dimensional Klein-Gordon Equation with modified Hylleraas Potential

• DOI: 10.1007/s00601-013-0706-1
• Publication Date: 2013-03-23T07:38:26Z
• Authors: Akpan N. Ikot; Oladunjoye A. Awoga; Akaninyene D. Antia; Hassan Hassanabadi; Elham Maghsoodi
• Keywords: Eigenfunction; Woods–Saxon potential; Morse potential; Limiting; Position (finance); Klein–Gordon equation

We study the D-dimensional Klein-Gordon equation for the modified Hylleraas potential with position dependent mass. We obtain the energy eigenvalues and the corresponding eigenfunctions for any arbitrary l-state using the parametric Nikiforov-Uvarov method. New elegant approximation method is used to deal with the centrifugal term. We also discuss the two limiting cases of this potential, i.e. the Woods-Saxon and Rosen-Morse potentials.