大学物理 ›› 2007, Vol. 26 ›› Issue (4): 7-7.

• 著者文摘 • 上一篇    下一篇

电矩张量与旋转带电体的磁矩

周国全   

  1. 武汉大学物理科学与技术学院,湖北武汉430072
  • 出版日期:2007-04-25 发布日期:2007-04-20

Charge moment tensor and the magnetic moment of a rotating charged bodies

  • Online:2007-04-25 Published:2007-04-20

摘要: 基于旋转带电体的磁矩与刚体转动惯量之间的类比关系,引入带电体的一个不同于电四极矩的电矩张量的概念,进而引入标量电矩二次曲面及电矩主轴的概念,借助正交变换及电矩张量矩阵的本征值理论,推导出沿任意方向定轴旋转带电体的磁矩的计算公式及电矩张量的若干性质,并举例说明.

关键词: 磁矩, 电矩张量, 标量电矩, 电矩椭球, 二次曲面, 主轴

Abstract: Based on the strict and delicate analogue relation between the magnetic moment of a rotating charged bodies and moment of inertia of rigid bodies, a new concept of charge moment tensor Ⅰ which is different from the existent electric multipole moment is introduced. And by means of eigenvalue equation of tensor Ⅰ, the concept of principal axes and principal-axis scalar charge moment are constructed, and further the scalar charge moment of a charged body and the magnetic moment of a rotating charged body around an arbitrary direction are attained.

Key words: magnetic moment, moment of inertia, charge moment tensor, scalar charge moment, charge moment ellipsoid, principal axis

中图分类号: 

  • O442