Exact solutions of the Klein–Gordon equation with Makarov potential and a recurrence relation

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2007 Chin. Phys. Soc. and IOP Publishing Ltd
, , Citation Zhang Min-Cang and Wang Zhen-Bang 2007 Chinese Phys. 16 1863 DOI 10.1088/1009-1963/16/7/010

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mincangzhang@snnu.edu.cn

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1 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China

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  1. Received 31 October 2006
1009-1963/16/7/1863

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 ℓ is established and some special cases of Makarov potential are discussed.

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