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Exact solutions of the Klein--Gordon equation with Makarov potential and a recurrence relation
Authors:Zhang Min-Cang and Wang Zhen-Bang
Affiliation:School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China
Abstract:In this paper, the Klein--Gordon equation with equal scalar and vector Makarov potentials is studied by the factorization method. The energy equation and the normalized bound state solutions are obtained, a recurrence relation between the different principal quantum number n corresponding to a certain angular quantum number \ell is established and some special cases of Makarov potential are discussed.
Keywords:Makarov potential  Klein--Gordon equation  bound state  factorization method
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