多个角动量的耦合与角动量投影方法  

The coupling of multi-angular momentum and angular momentum projection method

作　　者：杨迎春[1] 陆祺[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）》2005年第4期32-36,共5页Journal of Shanghai Normal University(Natural Sciences)

基　　金：国家自然科学基金(10375001);上海市高校科技发展基金(03DZ03);上海市科技发展基金(025nm082);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

摘　　要：角动量耦合是量子力学的重要内容,而角动量投影是相关研究领域专业学术期刊论文的重要内容,两者有紧密的联系。作者利用2个D函数的耦合与3个D函数的积分规则,讨论了2个,3个和4个角动量从非耦合表象到耦合表象的变换以及它们与角动量投影方法的一致性。为科研中角动量投影方法和CG系数的数值计算提供了一种简便易行的、相互检验其正确性的方法。The coupling of angular momentums is an important content in quantum mechanics. Angular momentum projection is also an important content in the academic journals for related research realm. They have close relationship between each other. We study the couplings for two, three and four angular momentums, the total angular momentum projections of them and the coincidence between them by using the formulas of two D functions coupling and the integration formula of three D functions. The research, provides an easier method for checking the correctness of both numerical calculations with each other.

关 键 词：角动量耦合 角动量投影 一致性 CG系数 

分 类 号：O177.91[理学—数学]