| 应用角动量升降算符分析角动量的矩阵表示和表象变换 |
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| 引用本文： | 田杏霞,王鹏,王艳.应用角动量升降算符分析角动量的矩阵表示和表象变换[J].通化师范学院学报,2014(8):35-36. |
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| 作者姓名： | 田杏霞 王鹏 王艳 |
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| 作者单位： | 通化师范学院物理学院,吉林通化134002 |
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| 基金项目： | 通化师范学院教学研究项目（2011年）. |
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| 摘 要： | 应用角动量升降算符与角动量分量算符的运算关系,计算了当角动量量子数为1时z表象中Jx和Jy的矩阵表示,并进一步给出从z表象到x表象和y表象的变换矩阵的计算方法.该计算方法可以推广到任意角动量耦合情况,对于量子力学学习与教学有较大的帮助.
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| 关 键 词： | 升降算符 表象变换 矩阵表示 |
Analyzing Operator Matrix and Translation Representation with Raising and Lowering Operators of Angular Momentum |
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| TIAN Xing - xia,WANG Peng,WANG Yan.Analyzing Operator Matrix and Translation Representation with Raising and Lowering Operators of Angular Momentum[J].Journal of Tonghua Teachers College,2014(8):35-36. |
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| Authors: | TIAN Xing - xia WANG Peng WANG Yan |
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| Institution: | (College of Physics, Tonghua Normal University, Ton, ghua, Jilin 134002 China) |
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| Abstract: | The matrix of jx （Jy） in z representation is calculated with the raising and lowering operator, when the quantum number is 1. The method of calculating the translation matrix from z representation to x（y） representation is provided, it can be applied to any angular momentum. It is useful to teach and study the quantum mechanics. |
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| Keywords: | the raising and lowering operators the translation representation the operator matrix |
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