| 类氢离子体系的矩阵元和平均值的计算及向多电子原子或离子体系的推广 |
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| 引用本文： | 王麓雅,文根旺.类氢离子体系的矩阵元和平均值的计算及向多电子原子或离子体系的推广[J].湖南师范大学自然科学学报,1991(3). |
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| 作者姓名： | 王麓雅 文根旺 |
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| 作者单位： | 湖南师范大学物理系，湖南师范大学物理系 |
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| 摘 要： | 本文根据缔合拉盖尔函数的性质,导出了计算任意幂次算符r~k矩阵元和平均值的计算公式,该公式比较文献1]中的结果更为简洁全面。并利用正负整数幂平均值之间的关系和各次幂平均值的递推关系,得出了一种计算任意幂次算符r~k平均值的数值结果或简单表达式的新方法,还将此简易方法推广到了多电子原子或离子体系的模型势理论中。
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| 关 键 词： | 类氢离子 矩阵元 平均值 原子结构 |
THE CALCULATION OF THE MATRIX ELEMENTS AND AVERAGE VALUE OF HYDROGENIC SYSTEM WITH THE EXTENSION TO MULTIELECTRONIC ATOMIC SYSTEM |
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| Wang Luya,Wen Genwang.THE CALCULATION OF THE MATRIX ELEMENTS AND AVERAGE VALUE OF HYDROGENIC SYSTEM WITH THE EXTENSION TO MULTIELECTRONIC ATOMIC SYSTEM[J].Journal of Natural Science of Hunan Normal University,1991(3). |
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| Authors: | Wang Luya Wen Genwang |
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| Institution: | Wang Luya;Wen Genwang Department of Physics |
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| Abstract: | The calculation formulas were derived for the matrix elements and averagevalue of any integer power operator r~k according to the properties of the asso-ciate Laguerre function.Furthermore,a new methed was suggested to obtainthe numerical results or simple expression for the calculation of average valueof the operator r~k using the recursion relations for different power order ope-rators.Some extension to the general modal potential theory of atomic systemwere also suggested. |
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| Keywords: | hydrogenic ions matrix element average value atomic structure |
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