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在球坐标系中研究了具有离心项的Manning-Rosen型标量势与矢量势的Klein-Gordon方程.在标量势等于矢量势的条件下，运用合适的指数近似将具有离心项的径向Klein-Gordon方程转化成超几何微分方程，从而获得了系统的任意l波Klein-Gordon方程解析束缚态径向波函数.最后，对l=0和α=0或1两种特殊情况进行了简单讨论.
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关键词:
- Manning-Rosen势 /
- Klein-Gordon方程 /
- 束缚态 /
- 近似解析解
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
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