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.
出处
《原子与分子物理学报》
CAS
CSCD
北大核心
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)
