摘要
转动矩阵在角动量理论中起着非常基本和重要的作用,它已经被推导通过使用各种方法。提出一个新的方法研究角动量算符的本征态和转动矩阵。该方法采用角动量算符的有关公式和角动量的生成元算符的SU(2)代数的解纠缠公式,得到任意分量的角动量算符的新本征态,利用该本征态进一步推导出角动量算符的新转动矩阵表示。与现有的方法相比较,方法具有简单和直接性的特点。
The rotation matrix of angular momentum operator plays an elementary and important role in theory of angular momentum; it has been derived by means of various methods.We propose a novel alternative approach to study the problem of both the rotation matrix and Eigen-function of angular mo-mentum operator.By use of the relevant formulas and the disentangling formula of SU（2） algebra generators of angular momentum,the new expressions for the Eigen-functions of arbitrary component of angular momentum operator are directly derived.By using these Eigen-functions,the new rotation matrix representation of angular momentum operator is obtained easily.It clearly shows that our approach is much simpler and direct one compared with all the previous methods.
出处
《成都信息工程学院学报》
2014年第2期199-201,共3页
Journal of Chengdu University of Information Technology
基金
The project supported by the Natural Science Foundation of Sichuan Provincial Education Department of China(2004A156)
the Scientific Research Foundation of CUIT(CSRF200404)
关键词
量子力学
角动量算符
转动矩阵和本征态
算符解纠缠方法
quantum mechanics
angular momentum operator
rotational matrix and Eigen-function
operator disentangling method
