n维氢原子的散射态  

Scattering states of n-dimensional hydrogen atom

作　　者：陈昌远[1] 孙东升[1] 刘成林[1] 陆法林[1] 

机构地区：[1]盐城师范学院物理系,盐城224002

出　　处：《物理学报》2003年第4期781-785,共5页Acta Physica Sinica

基　　金：江苏省教育厅自然科学基金 (批准号 :0 2KJB14 0 0 0 7);盐城师范学院专项基金资助的课题~~

摘　　要：研究了n维氢原子的散射态性质 .给出了精确的按“k 2π标度”归一化的散射态的精确解波函数及相移表达式 ,讨论了相移的解析性质 ,获得了束缚 -连续跃迁矩阵元的解析计算公式 .普通氢原子 (n =3)Characteristics of the scattering states of an n-dimensional hydrogen atom have been studied. The normalized wave functions of scattering states on 'k/2pi scale' and the calculation formula of phase shift are presented. The analytical properties of phase shift are discussed, and analytical formulas for calculating bound-continuous transition matrix elementsare also given. The relevant results of scattering states for the usual hydrogen atom (n = 3) reported in the literature are contained in more general conclusions of this paper as special cases.

关 键 词：N维氢原子 散射态 精确解 波函数 相移 束缚—连续跃迁矩阵元 量子力学 

分 类 号：O413.1[理学—理论物理]