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

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.

arXiv comment6 pages

References in corpus (2)

• Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation
• Asymptotic Iteration method for singular potentials

Cited by in corpus (1)

• Electric quadrupole transitions of the Bohr Hamiltonian with Manning-Rosen potential