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Exact solutions of Klein Gordon equation for the Makarov potential with the asymptotic iteration method

arXiv:1003.4927

Abstract

We derive exact analytical solutions of the Klein-Gordon equation for Makarov potential by means of the asymptotic iteration method. The energy eigenvalues are given in a closed form and the corresponding normalized eigenfunctions are obtained in terms of the generalized Laguerre polynomials and hypergeometrical functions.

6 pages