中国物理B ›› 2008, Vol. 17 ›› Issue (9): 3214-3216.doi: 10.1088/1674-1056/17/9/011

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Exact bound state solutions of the Klein--Gordonparticle in Hulth\'{e}n potential

张民仓   

  1. College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China
  • 收稿日期:2007-10-09 修回日期:2007-12-07 出版日期:2008-09-08 发布日期:2008-09-08

Exact bound state solutions of the Klein--Gordonparticle in Hulthén potential

Zhang Min-Cang(张民仓)†   

  1. College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China
  • Received:2007-10-09 Revised:2007-12-07 Online:2008-09-08 Published:2008-09-08

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摘要： In this paper, the Klein--Gordon equation with the spherical symmetric Hulth\'{e}n 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.

关键词: Hulth\'{e}n potential, Klein--Gordon equation, bound state, hypergeometric function

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.

Key words: Hulthén potential, Klein--Gordon equation, bound state, hypergeometric function

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
03.65.Pm (Relativistic wave equations)