Analytical approximations to the arbitrary l-wave bound state solutions of the Klein-Gordon equation for the Manning-Rosen potential

Wei Gao-Feng; Long Chao-Yun; Qin Shui-Jie; Zhang Xin

doi:10.7498/aps.57.6730

Abstract
The Klein-Gordon equation of equal scalar and vector Manning-Rosen potentials with the centrifugal term is investigated in the spherical coordinates. Using a proper exponential approximate approach，the radial Klein-Gordon equation with the centrifugal term is transformed to the hypergeometric differential equation，and the analytical bound state radial wave functions of the arbitrary l-wave Klein-Gordon equation are obtained. Finally，two special cases for l=0 and α=0 or 1 are discussed briefly.

Keywords:
Manning-Rosen potential /

Klein-Gordon equation /

bound states /

approximate analytical solution
Authors and contacts
Wei Gao-Feng³,

Long Chao-Yun¹,

Qin Shui-Jie²,

Zhang Xin²

(1)贵州大学物理系，贵州 550025；贵州省光电子技术及应用重点实验室，贵州大学，贵阳 550025; (2)贵州省光电子技术及应用重点实验室，贵州大学，贵阳 550025; (3)西安文理学院物理系，西安 710065；贵州大学物理系，贵州 550025
References

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Vol. 57, Issue 11 - 2008-06-05

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Analytical approximations to the arbitrary l-wave bound state solutions of the Klein-Gordon equation for the Manning-Rosen potential

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Analytical approximations to the arbitrary l-wave bound state solutions of the Klein-Gordon equation for the Manning-Rosen potential

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