TITLE:
Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions
AUTHORS:
Sameer M. Ikhdair
KEYWORDS:
Approximation Scheme, Eckart-Type Potentials, Rosen-Morse-Type Potentials, Trigonometric Rosen-Morse Potential, Hulthén Potential and Woods-Saxon Potential, Klein-Gordon Equation, NU Method
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.1 No.2,
September
30,
2011
ABSTRACT: The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital quantum number l and dimensional space D. The relativistic/non-relativistic energy spectrum formula and the corresponding un-normalized radial wave functions, expressed in terms of the Jacobi polynomials and or the generalized hypergeometric functions have been obtained. A short-cut of the Nikiforov-Uvarov (NU) method is used in the solution. A unified treatment of the Eckart, Rosen-Morse, Hulthén and Woods-Saxon potential models can be easily derived from our general solution. The present calculations are found to be identical with those ones appearing in the literature. Further, based on the PT-symmetry, the bound state solutions of the trigonometric Rosen-Morse potential can be easily obtained.