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

Mathematical Physics 2011-05-16 v1 math.MP Quantum Physics

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.

Keywords

Cite

@article{arxiv.1003.4927,
  title  = {Exact solutions of Klein Gordon equation for the Makarov potential with the asymptotic iteration method},
  author = {M. Chabab and M. Oulne},
  journal= {arXiv preprint arXiv:1003.4927},
  year   = {2011}
}

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6 pages