Analytical Solutions Of Klein-Gordon Equation For A Central Inverse Square Potential Using Nikiforov-Uvarov Method

Abstract

The radial Klein-Gordon Equation is solved for a central inverse square potential. The relativistic energy eigenvalues are given and the corresponding eigen functions are obtained in terms of the Laguerre polynomials by using the Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric-type.