四元数在力学和电磁学中的应用  

The application of quaternion in mechanics and electromagnetism

作　　者：许方官[1] 严亮[2] 

机构地区：[1]北京大学技术物理系,北京100871 [2]北京军医学院医学工程系,北京100071

出　　处：《大学物理》2001年第9期30-33,41,共5页College Physics

摘　　要：用双四元数表述了相对论力学和电磁规律 .所用的方法能够适用于相对论性物理学科的不同领域 ,有利于形成系统的四元数物理学 .由于四元数本身结构上的特点 ,使得四元数形式的物理量具备了反映四维时空中时间与空间内在联系的功能 。The electromagnetism laws and the relativistic mechanics are described by the double quaternion.This method of describing can be applied to different fields of the relativistic physics,and is helpful to form the systematic quaternion physics.Owing to the characteristic on structure of quaternion,the physics quantity of quaternion enable to represent the inherent relations between time and space in four dimension space time.Then,the relativistic physics described by quaternion can probably to some extent reveal the essential relations between laws of nature which seem to be unconcerned.

关 键 词：四维时空 洛纶兹协变性 四元数物理学 力学 电磁学 四元数 相对论性 

分 类 号：O411.1[理学—理论物理]