| 复数域的新推广及其物理意义 |
| |
| 引用本文： | 张一方.复数域的新推广及其物理意义[J].吉首大学学报(自然科学版),2008,29(5):45-48. |
| |
| 作者姓名： | 张一方 |
| |
| 作者单位： | （云南大学物理系，云南 昆明 650091） |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 在数系发展的基础上，提出了一种新的发展模式：四元数推广为矩阵形式aI+bA+cB+dC，其中单位矩阵I和3个特殊矩阵A,B,C分别相应于数1和虚数单位i,j,k.它们一般组成环，但3种矩阵aI+bA，aI+cB，aI+dC及某些特殊的二阶甚至高阶矩阵可以组成域，这是一类新的超复数系.最后探讨了这种新数系可能具有的物理意义.
|
| 关 键 词： | 数系 矩阵 复数 环 域 物理意义 |
New Extension of Complex Number Field and Their Physical Meaning |
| |
| ZHANG Yi-fang.New Extension of Complex Number Field and Their Physical Meaning[J].Journal of Jishou University(Natural Science Edition),2008,29(5):45-48. |
| |
| Authors: | ZHANG Yi-fang |
| |
| Institution: | （Department of Physics,Yunnan University,Kunming 650091,China） |
| |
| Abstract: | Based on a brief review on developments of number system,a new developed pattern is proposed.The quaternion is extended to a matrix form aI+bA+cB+dC,in which the identity matrix I and three special matrices A,B,C correspond to number 1 and three units of imaginary number i,j,k,respectively.They form usually a ring,but some fields may be composed of three matrices aI+bA,aI+cB,aI+dC,and of some special 2-order,even n-order matrices.It is a new type of hypercomplex number fields.Finally,the possible physical meaning of the new number system is researched. |
| |
| Keywords: | number system matrix complex number ring field physical meaning |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉首大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《吉首大学学报(自然科学版)》下载免费的PDF全文 |
|
