Algebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanics

作者：Jiang Tongsong^*; Jiang Ziwu; Zhang Zhaozhong

来源：Journal of Mathematical Physics, 2015, 56(8): 083509.

DOI：10.1063/1.4928935

In the study of the relation between complexified classical and non-Hermitian quantum mechanics, physicists found that there are links to quaternionic and split quaternionic mechanics, and this leads to the possibility of employing algebraic techniques of split quaternions to tackle some problems in complexified classical and quantum mechanics. This paper, by means of real representation of a split quaternion matrix, studies the problem of diagonalization of a split quaternion matrix and gives algebraic techniques for diagonalization of split quaternion matrices in split quaternionic mechanics.

• 出版日期2015-8
• 单位菏泽学院