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.
Received: 31 October 2006
Revised: 27 November 2006
Accepted manuscript online:
Zhang Min-Cang(张民仓) and Wang Zhen-Bang(王振邦) Exact solutions of the Klein--Gordon equation with Makarov potential and a recurrence relation 2007 Chinese Physics 16 1863
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