具有Manning-Rosen标量势与矢量势的Klein-Gordon方程的任意l波束缚态近似解析解  

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

作　　者：卫高峰[1,2] 龙超云[2,3] 秦水介[3] 张欣[3] 

机构地区：[1]西安文理学院物理系,西安710065 [2]贵州大学物理系,贵州550025 [3]贵州省光电子技术及应用重点实验室,贵州大学,贵阳550025

出　　处：《物理学报》2008年第11期6730-6735,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10347003,60666001);贵州省杰出科技青年计划培养基金(批准号:2002,2013);贵州省自然科学基金资助的课题~~

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.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.

关 键 词：Manning-Rosen势 KLEIN-GORDON方程 束缚态 近似解析解 

分 类 号：O413.1[理学—理论物理] U443.154[理学—物理]