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Chin. Phys. B, 2008, Vol. 17(9): 3214-3216    DOI: 10.1088/1674-1056/17/9/011
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Exact bound state solutions of the Klein--Gordonparticle in Hulthén potential

Zhang Min-Cang(张民仓)
College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China
Abstract  In this paper, the Klein--Gordon equation with the spherical symmetric Hulthén potential is turned into a hypergeometric equation and is solved in the framework of function analysis exactly. The corresponding bound state solutions are expressed in terms of the hypergeometric function, and the energy spectrum of the bound states is obtained as a solution to a given equation by boundary constraints.
Keywords:  Hulthén potential      Klein--Gordon equation      bound state      hypergeometric function  
Received:  09 October 2007      Revised:  07 December 2007      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  03.65.Pm (Relativistic wave equations)  

Cite this article: 

Zhang Min-Cang(张民仓) Exact bound state solutions of the Klein--Gordonparticle in Hulthén potential 2008 Chin. Phys. B 17 3214

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