| 四原子分子中Majorana算子矩阵元的新计算公式 |
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| 引用本文： | 王美山,丁世良,李伯符,张刚.四原子分子中Majorana算子矩阵元的新计算公式[J].高等学校化学学报,2002,23(4):709-711. |
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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:20173031,29892168)和山东省自然科学基金(批准号:Y99B04)资助． |
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| 摘 要： | 李代数方法在研究双原子分子、三原子分子振－转光谱及相关问题等方面已被证明是一种有效方法‘－0,并被成功推广到多原子分子’－门．构造代数哈密顿量是此方法的关键,这就要求选择合适的
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| 关 键 词： | 耦合张量算子 Majorana算子 广义维格纳-爱卡塔定理 |
| 文章编号： | 0251-0790(2002)04-0709-03 |
| 收稿时间： | 2001-10-11 |
New Formulas of Matrix Element of Majorana Operators of Four-atomic Molecules |
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| WANG Mei-Shan,DING Shi-Liang,LI Bo-Fu,ZHANG Gang.New Formulas of Matrix Element of Majorana Operators of Four-atomic Molecules[J].Chemical Research In Chinese Universities,2002,23(4):709-711. |
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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, Changchun 130023, China |
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| Abstract: | We first studied the relationship between coupling tensor operators of the product of three ten-sor operators of SO(4) and Majorana operators of four-atomic molecules. We have gained the general for-mulae of the matrix elements of the coupling tensor operators of product of three tensor operators by usingGeneralized Wigner-Eckart theorem. As an example, we calculated the matrix elements of Majorana oper-ators and gave the new simpler formulae of them. |
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| Keywords: | Coupling tensor operators Majorana operators Generalized Wigner-Eckart theorem |
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