Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

• 作者: Sameer M. Ikhdair
• 来源期刊: 量子信息科学期刊(英文)
• 学科: 数学
• 关键词: Approximation Scheme Eckart-Type POTENTIALS Rosen-Morse-Type POTENTIALS Trigonometric Rosen-Morse POTENTIAL Hulthén POTENTIAL and Woods-Saxon POTENTIAL KLEIN-GORDON Equation NU Method
• 年，卷（期）: 2011,（2）
• 页码范围: 73-86
• 页数: 14页
• 分类号: O1

摘要

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.