Cramer rule for quaternionic linear equations in quaternionic quantum theory

被引：7
|
作者：
Jiang, Tongsong [1 ]
机构：
[1] Linyi Normal Univ, Dept Math, Shandong 276005, Peoples R China
[2] Shandong Univ, Dept Comp Sci & Technol, Jinan 250100, Peoples R China
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2006年 / 57卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Cramer rule; complex representation; companion vector; quaternionic linear equation;
D O I：
10.1016/S0034-4877(06)80033-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By means of a complex representation of a quaternion matrix and a companion vector, this paper introduces a new definition of determinant for a quaternion matrix, derives a technique of finding an inverse matrix of a quaternion invertible matrix, and gives a Cramer rule for quaternionic linear equations in quaternionic quantum theory.
引用
收藏
页码：463 / 468
页数：6
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