【摘要】 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.更多还原

【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.更多还原