| 氢原子轨道的径向幂平均值与多极跃迁矩阵元的计算 |
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| 引用本文： | 文根旺.氢原子轨道的径向幂平均值与多极跃迁矩阵元的计算[J].湖南师范大学自然科学学报,1988(4). |
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| 作者姓名： | 文根旺 |
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| 作者单位： | 湖南师范大学物理系 |
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| 摘 要： | 本文使用缔合拉盖尔多项式的微商及其Taylor展开性质,推导了一个统一描述类氢原子体系电子轨道的任意幂次径向平均值与多极跃迁矩阵元的简单表达式。本文的结果包含了前人推导的所有公式,易于编制统一的程序,适用于推广至一般里德堡原子的计算。
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| 关 键 词： | 氢原子 径向平衡 平均值 跃迁 |
THE RADIAL MEAN VALUES AND MULTIPOLE TRANSITION MATRIX ELEMENTS OF HYDROGENLIKE ATOMIC ORBITALS |
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| Wen Cenwang.THE RADIAL MEAN VALUES AND MULTIPOLE TRANSITION MATRIX ELEMENTS OF HYDROGENLIKE ATOMIC ORBITALS[J].Journal of Natural Science of Hunan Normal University,1988(4). |
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| Authors: | Wen Cenwang |
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| Institution: | Wen Cenwang Department of Physics |
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| Abstract: | In this paper,a new method was reported for the derivation of the radial
mean value and multipole transition matrix elements of hydrogenlike atomic orbits.
Aunifield expresion for the mean value and transition matrix elements was deduc-
ed with using Taylor expansion technology and the defferential properties of Ia-
guerre Polynomy.This is consistent with all the publeshed results but simpler in
programming and easier to extend to study the properties of general Rydberg states
of atoms. |
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| Keywords: | hydrogen atom radial equilibrium mean value transition |
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