| SO(4)群链的广义耦合系数和耦合张量算子矩阵元的计算 |
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| 引用本文： | 王美山,丁世良,李伯符,张刚.SO(4)群链的广义耦合系数和耦合张量算子矩阵元的计算[J].高等学校化学学报,2002,23(6):1164-1167. |
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| 作者姓名： | 王美山 丁世良 李伯符 张刚 |
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| 作者单位： | 1. 山东大学理论化学研究所, 济南 250100;
2. 吉林大学理论化学计算国家重点实验室, 长春 130023 |
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| 基金项目： | 国家自然科学基金 (批准号 :2 0 173 0 3 1，2 9892 168)，山东省自然科学基金 (批准号 :Y99B0 4)资助 |
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| 摘 要： | 证明了群链(Ⅰ)和(Ⅲ)的广义耦合系数和耦合张量算子矩阵元的一般计算公式,应用该公式计算了Majorana算子矩阵元,从而验证了一般矩阵元公式推导的正确性.
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| 关 键 词： | 耦合系数 耦合张量算子 维格纳-爱卡塔定理 |
| 文章编号： | 0251-0790(2002)06-1164-04 |
| 收稿时间： | 2001-09-29 |
Calculating of Generalized Coupling Coefficients and Matrix Element of Tensor Operators of Chains of Subgroup of SO(4) |
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| WANG Mei Shan ,DING Shi Liang ,LI Bo Fu ,ZHANG Gang.Calculating of Generalized Coupling Coefficients and Matrix Element of Tensor Operators of Chains of Subgroup of SO(4)[J].Chemical Research In Chinese Universities,2002,23(6):1164-1167. |
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| Authors: | WANG Mei Shan DING Shi Liang LI Bo Fu ZHANG Gang |
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| Institution: | 1. Institute of Theoretical Chemistry, Shandong University, Jinan 250100, China;
2. State Key Laboratory of Theoretical and Computational Chemistry, Jilin University, Chang |
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| Abstract: | The generalized coupling coefficients of group chains (Ⅰ) and (Ⅲ) were firstly discussed, and then generalized Wigner-Eckart theorem of coupling tensor operators of group chains (Ⅰ) and (Ⅲ) were investigated. We have gained the general expression of reduced matrix element of coupling tensor operators in the third section. As an example, the matrix element of Majorana operator was calculated in the last section. The results shows it is consistent with the result from the literature. |
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| Keywords: | Coupling coefficients Coupling tensor operator Wigner Eckart theorem |
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