节点文献
矢量算符的Rodrigues旋转公式及其应用
The Rodrigues rotation formula for vector operators and its applications
【摘要】 本文利用矢量算符在旋转下的全局变换性质给出了其满足的Rodrigues旋转公式的经典推导方法,并将该公式应用于两个物理场景:1.对发表于本刊的论文[闫二斌.论角动量的态空间.大学物理,2021, 40(10):18-21]中提到的一个结论进行了深层次的刨析,2.求解了静磁场部分沿任意方向的拉比问题.
【Abstract】 Using the global transformation properties of vector operators under rotation operations, this paper presents a classical derivation of the Rodrigues formula satisfied by general vector operators. The formula is then applied to two physical examples: 1. We provide some further analysis regarding one of the main conclusions in [YAN Er-bin. On the state space of angular momentum. College Physics, 2021, 40(10): 18-21], 2. Solution of the Rabi problem with the static magnetic field pointing along an arbitrary direction.
【关键词】 矢量算符;
空间转动;
自旋分量算符;
拉比问题;
【Key words】 vector operators; spatial rotations; spin component operator; Rabi problem;
【Key words】 vector operators; spatial rotations; spin component operator; Rabi problem;
【基金】 科技创新2030重大项目“2023ZD0300703”资助
- 【文献出处】 大学物理 ,College Physics , 编辑部邮箱 ,2025年07期
- 【分类号】G642;O413.1-4
- 【下载频次】11