| 角动量算符的本征态和转动矩阵的新形式(英文) |
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| 引用本文： | 杨进,余万伦.角动量算符的本征态和转动矩阵的新形式(英文)[J].成都信息工程学院学报,2014(2):199-201. |
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| 作者姓名： | 杨进 余万伦 |
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| 作者单位： | 成都信息工程学院光电技术学院,四川成都610225 |
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| 基金项目： | The project supported by the Natural Science Foundation of Sichuan Provincia-1 Education Department of China （2004A156） ;the Scientific Research Foundation of CUIT （CSRF200404） |
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| 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。
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| 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 |
New Expressions for Both the Rotation Matrix and Eigenfunction of Angular Momentum Operator |
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| YANG Jin,YU Wan-Lun.New Expressions for Both the Rotation Matrix and Eigenfunction of Angular Momentum Operator[J].Journal of Chengdu University of Information Technology,2014(2):199-201. |
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| Authors: | YANG Jin YU Wan-Lun |
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| Institution: | (School of Optics ＆ Electronics, CUIT, Chengdu 610225, China) |
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| Abstract: | 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. |
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| Keywords: | quantum mechanics angular momentum operator rotational matrix and Eigen-function operator disentangling method |
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