大学物理 ›› 2021, Vol. 40 ›› Issue (5): 71-.doi: 10.16854 / j.cnki.1000-0712.200466

• 大学生园地 • 上一篇    下一篇

托马斯效应的简单诠释

杨 一,李秀玲,罗成林   

  1. 南京师范大学 物理科学与技术学院,江苏 南京 210023
  • 收稿日期:2020-10-14 修回日期:2020-12-20 出版日期:2021-05-20 发布日期:2021-05-20
  • 通讯作者: 罗成林,E-mail: 06123@ njnu.edu.cn
  • 作者简介:杨一( 2000—) ,女,江苏南京人,南京师范大学物理科学与技术学院 2018 级本科生.
  • 基金资助:
    国家自然科学基金( 21673119) 资助

A simpler explanation of Thomas precession

YANG Yi,LI Xiu-ling,LUO Cheng-lin   

  1. Department of Physics and Technology,Nanjing normal University,Nanjing,Jiangsu 20023,China
  • Received:2020-10-14 Revised:2020-12-20 Online:2021-05-20 Published:2021-05-20

摘要: 托马斯进动的发现对电子自旋概念的确立有重要意义. 然而,其物理图像及结论多是采用洛伦兹变换进行连续微分推导而出,过程较为繁杂,掌握难度也较大,在原子物理学教学过程中很难描述. 本文通过狭义相对论中长度在运动方向缩短的概念,从电子绕行原子实一周时,在原子实坐标系和电子随动坐标系中最终角度差的积分效应出发,非常简单的论证了 1 /2 的托马斯进动因子,其物理图像清晰,易于被学生理解和掌握.

关键词: 电子自旋, 托马斯进动, 拉莫尔进动, 电子自旋和轨道相互作用能

Abstract: The discovery of Thomas precession is of great significance to the establishment of the

concept of e- lectron spin. However,its physical images and conclusions are usually derived from

the differential process of con- tinuous Lorentz transformation. The method is complicated and

difficult to understand. In this article,based on the concept of shortening the length in the

direction of motion in the special theory of relativity,it is surprising to find that Thomas

precession angular velocity can be easily calculated by the integral effect of the

angle difference be- tween the nuclear reference system and the electron reference system

when the electron moves around the nuclear for a full circle.

Key words: electron spin, Thomas precession, Larmor precession, spin-orbit interaction energy