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库仑波函数的束缚连续跃迁矩阵元的解析计算公式和递推关系
引用本文:陈昌远,孙东升,陆法林.库仑波函数的束缚连续跃迁矩阵元的解析计算公式和递推关系[J].中国物理 B,2005,14(1):37-41.
作者姓名:陈昌远  孙东升  陆法林
作者单位:Department of Physics, Yancheng Teachers College, Yancheng,224002, China;Department of Physics, Yancheng Teachers College, Yancheng,224002, China;Department of Physics, Yancheng Teachers College, Yancheng,224002, China
基金项目:Project supported by the Natural Science Foundation of the Education Bureau of Jingsu Province, China (Grant No 02KJB140007)and the Special Foundation of Yancheng Teachers College,China.
摘    要:给出了库仑波函数的束缚连续跃迁矩阵元的解析计算公式,并获得了不同幂次矩阵元之间所满足的递推关系.这些结果可广泛的用于原子和分子的散射问题.

关 键 词:库仑波函数  束缚连续跃迁矩阵元  解析计算公式  递推关系
收稿时间:2003-12-16

Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions
Chen Chang-Yuan,Sun Dong-Sheng and Lu Fa-Lin.Analytical formulae and recurrence relations of bound-continuous transition matrix element for Coulomb wavefunctions[J].Chinese Physics B,2005,14(1):37-41.
Authors:Chen Chang-Yuan  Sun Dong-Sheng and Lu Fa-Lin
Institution:Department of Physics, Yancheng Teachers College, Yancheng,224002, China
Abstract:In this paper, the analytical formulae of bound-continuous transition matrix elements for Coulomb wavefunctions are obtained, and the recurrence relations of different power order transition matrix elements are also derived. The results may be useful in a great diversity of scattering problems for atoms or molecules.
Keywords:Coulomb wavefunctions  bound-continuous transition matrix elements  analytical formulae  recurrence relations
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