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物理学报. 2003, 52(4): 781-785.
doi: 10.7498/aps.52.781.
n维氢原子的散射态
- 收稿日期: 2002-07-16
- 刊出日期: 2003-02-05
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)散射态的有关结果作为特例包含在本文的一般结论之中．
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关键词:
- n维氢原子 /
- 散射态 /
- 精确解 /
- 相移 /
- 束缚-连续跃迁矩阵元
English Abstract
Scattering states of n-dimensional hydrogen atom
- Received Date:
16 July 2002
- Published Online:
05 February 2003
Abstract: Characteristics of the scattering states of an n-dimensional hydrogen atom have been studied. The normalized wave functions of scattering states on “k/2π 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 elements are 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.
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