大学物理 ›› 2021, Vol. 40 ›› Issue (12): 49-.doi: 10.16854 / j.cnki.1000-0712.210252

• 大学生园地 • 上一篇    下一篇

磁场中荷电粒子动量分量间不对易性和角动量的一个新关系

陈俊风, 谢蔚鑫, 王 鑫, 刘全慧   

  1. 湖南大学物理与微电子科学学院理论物理研究所,湖南 长沙 410082
  • 收稿日期:2021-05-24 修回日期:2021-07-07 出版日期:2021-12-10 发布日期:2021-12-15
  • 通讯作者: 刘全慧,E-mail: qhliu@ hnu.edu.cn
  • 作者简介:陈俊风( 2000—) ,男,四川人,湖南大学应用物理学 2018 级本科生.
  • 基金资助:
    国家自然科学基金( 11675051) 资助

A new relation between angular momentum and non-commutativity of different components of momentum for a charge in a magnetic field

CHEN Jun-feng,XIE Wei-xin,WANG Xin,LIU Quan-hui   

  1. School for Theoretical Physics,College of Physics and Electronics,Hunan University,Changsha,Hunan 410082,China
  • Received:2021-05-24 Revised:2021-07-07 Online:2021-12-10 Published:2021-12-15

摘要: 磁场中荷电粒子动量不同分量间的泊松括号或者对易关系不为零,而是正比于一个磁场分量,本文证明了这个量正比于荷电粒子力学角动量的一个分量.这个关系可以认为磁性本质上是旋转性这一定性描述的定量表达.

关键词: 磁场, 旋转, 动量, 角动量, 泊松括号

Abstract: It is known that for a charge particle in a magnetic field,the Poisson bracket or commutator of dif- ferent components of the momentum is proportional to a component of the magnetic field.It is demonstrated that it is proportional a component of the mechanical angular momentum. This new relation can be considered as a manifesta- tion of Maxwell's qualitative statement that magnetism is essentially rotational in nature.

Key words: magnetic field, rotation, momentum, angular momentum, Poisson bracket