ANALYTICAL SOLUTIONS OF KLEIN-GORDON EQUATION FOR A CENTRAL INVERSE SQUARE POTENTIAL USING NIKIFOROV-UVAROV METHOD

W. E. AZOGOR, T. I. UZA, N. O. EDODI

Available online Jul 4, 2025.

[ Original ] Volume 31, Issue 2, 2025, Pages 397-412


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


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