| 角动量投影算符的矩阵元与CG系数 |
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| 引用本文： | 徐秋[],郑仁蓉[],朱顺泉[].角动量投影算符的矩阵元与CG系数[J].上海师范大学学报(自然科学版),2006,35(1):56-61. |
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| 作者姓名： | 徐秋[] 郑仁蓉[] 朱顺泉[] |
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| 作者单位： | 1. 上海师范大学,数理信息学院,上海,200234
2. 上海商学院,计算机与电气技术系,上海,201400 |
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| 基金项目： | 中国科学院资助项目;国家重点实验室基金;上海市高等教育科技发展基金 |
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| 摘 要： | 利用大D函数的正交归一化关系和两个大D函数的耦合规则，以最简单的单粒子乘积波函数为例，给出了2个、3个乃至多个粒子波函数的角动量投影算符的矩阵元与CG系数的关系．论证了CG系数和积分两种角动量投影算符矩阵元计算方法的一致性和各自的优缺点，讨论了角动量投影算符矩阵元的性质．
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| 关 键 词： | 角动量投影 矩阵元 CG系数 |
| 文章编号： | 1000-5137(2006)01-0056-06 |
| 收稿时间： | 11 15 2005 12:00AM |
| 修稿时间： | 2005年11月15 |
The matrix elements of operator of angular momentum projection and the CG coefficients |
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| XU Qiu,ZHENG Ren-rong,ZHU Shun-quan.The matrix elements of operator of angular momentum projection and the CG coefficients[J].Journal of Shanghai Normal University(Natural Sciences),2006,35(1):56-61. |
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| Authors: | XU Qiu ZHENG Ren-rong ZHU Shun-quan |
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| Institution: | 1. Mathmatics and Sciences College, Shanghai Normal University, Shanghai 200234, China; 2. Dept. of Computer and Electric Technolog, Shanghai Business School, Shanghai 201400, China |
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| Abstract: | The relation between the matrix elements of operator of angular momentum projection and the CG coefficicnts is given by using the characteristics of D function and taking the simplest product wave function of two, three or more particles as exampies. The properties of the matrix elements of the angular momentum projection operator, the coincidence between the CG coefficients and integration methods are discussed. The advantages and the disadvantages of the two methods are analyzed. |
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| Keywords: | angular momentum projection matrix elements CG coefficient |
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