大学物理 ›› 2025, Vol. 44 ›› Issue (1): 53-.doi: 10.16854/j.cnki.1000-0712.240112

• 教学讨论 • 上一篇    下一篇

空间旋转引起的自旋态的变换

秦绪明,鞠林,赵冬秋,张希威   

  1. 安阳师范学院 物理与电气工程学院,河南 安阳455000
  • 收稿日期:2024-03-11 修回日期:2024-05-17 出版日期:2025-03-20 发布日期:2025-03-27
  • 作者简介:秦绪明(1981—),男,吉林辉南人,安阳师范学院物理与电气工程学院讲师,博士,主要从事物理教学和材料计算研究工作.E-mail: xmqin@aynu.edu.cn

Transformation of spin state caused by spatial rotation

QIN Xuming, JU Lin, ZHAO Dongqiu, ZHANG Xiwei   

  1. School of Physics and Electrical Engineering, Anyang Normal University, Anyang, Henan 455000, China
  • Received:2024-03-11 Revised:2024-05-17 Online:2025-03-20 Published:2025-03-27

摘要: 当空间发生旋转时,自旋算符沿某方向的投影和其本征态都会发生变换,但是变换后的自旋态应该还是变换后的相应算符的本征态. 本文利用这一原理讨论了空间旋转引起的自旋态的变换,得到了与轨道波函数类似的变换公式. 最后还讨论了空间旋转引起的一般角动量的变换公式.

关键词: 自旋, 自旋算符, 自旋态, 空间旋转

Abstract: When space undergoes rotation, both the projection of the spin operator along a certain direction and its eigenstate undergo transformation, but the transformed spin state should still be the eigenstate of the corresponding operator after transformation. This article uses this principle to discuss the transformation of spin state caused by spatial rotation, and obtains a transformation formula similar to the orbital wave function. Finally, the transformation formula of general angular momentum caused by spatial rotation is discussed.

Key words: spin, spin operator, spin state, spatial rotation