相对论性无自旋粒子在Hartmann势场中运动的精确解  

The exact solutions of relativistic particle of spin S=0 in the Hartmann potentials

作　　者：陈昌远[1] 孙东升[1] 陆法林[1] 

机构地区：[1]盐城师范学院物理系,盐城224002

出　　处：《原子与分子物理学报》2006年第3期532-538,共7页Journal of Atomic and Molecular Physics

基　　金：盐城师范学院教授博士基金(05YSYJB0207)

摘　　要：在标量势等于矢量势的条件下,本文获得了具有Hartmann型势的Klein-Gordon方程的精确解.给出了束缚态的精确的能谱方程和归一化的径向波函数,对于散射态,获得了按“k/2π标度”归一化的径向波函数和相移的解析计算公式.讨论了散射振幅的解析性质和波函数、能谱方程以及相移的非相对论近似.The exact solutions of Klein-Gordon equation with Hartmann-type potentials are studied provided the scalar potential is equal to the vector potential. The exact energy expressions and the normalized radial wave functions for bound states are presented. The normalized radial wave functions for scattering states on the ＂k/2π scale＂ and calculation formula of phase shifts are obtained. Analytical properties of the scattering amplitude are discussed. The non-relativistic approximation of wave functions and energy equation and phase shifts are also studied.

关 键 词：HARTMANN势 KLEIN-GORDON方程 束缚态 散射态 精确解 

分 类 号：O412[理学—理论物理]