角动量投影算符的矩阵元与CG系数  

The matrix elements of operator of angular momentum projection and the CG coefficients

作　　者：徐秋[1] 郑仁蓉[1] 朱顺泉[2] 

机构地区：[1]上海师范大学,数理信息学院 [2]上海商学院计算机与电气技术系

出　　处：《上海师范大学学报（自然科学版）》2006年第1期56-61,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：国家自然科学基金资助(10375001)兰州重粒子加速器国家实验室原子核物理理论中心第三期课题基金资助上海市高校科技发展基金资助(03DZ03)

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．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.

关 键 词：角动量投影 矩阵元 CG系数 

分 类 号：O469[理学—凝聚态物理]