| 为什么轨道角动量不能是?/2? |
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| 引用本文： | 鲍坚仁,周鲁卫.为什么轨道角动量不能是?/2?[J].物理学报,1997,46(5):833-840. |
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| 作者姓名： | 鲍坚仁 周鲁卫 |
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| 作者单位： | 复旦大学物理系 |
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| 摘 要： | 讨论了一般角动量与轨道角动量的联系和区别，指出它们的联系在于SU（2）群和SO（3）群的局部性质即李代数相同（同构），它们的差别在于两群的整体性质不同．一般角动量的最小单位?/2由群的局部性质决定，亦即李代数的对易关系（相当于角动量的对易关系）决定，而轨道角动量的最小单位?由SO（3）群的整体性质决定
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| 关 键 词： | 量子力学 轨道角动量 角动量 SU群 |
| 收稿时间： | 7/3/1996 12:00:00 AM |
WHY THE ORBITAL ANGULAR MOMENTUM CANNOT BE-?/2? |
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| BAO JIAN-REN and ZHOU LU-WEI.WHY THE ORBITAL ANGULAR MOMENTUM CANNOT BE-?/2?[J].Acta Physica Sinica,1997,46(5):833-840. |
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| Authors: | BAO JIAN-REN and ZHOU LU-WEI |
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| Abstract: | The association and difference between general angular momentum and orbital angular momentum are discussed. Their association lies in the identity of local property (Lie algebra) between group SU (2) and SO (3) (isomorphism), while their difference is their distinctive integral property. The minimal unit ?/2 of the general angular momentum is determined by the local properties of the groups, namely the commutation relation of Lie algebra (or commutor of angular momentum). However, the minimal unit ? of orbital angular momentum depends upon the integral property of group SO (3).
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