ON THE ROTATION MATRIX IN MINKOWSKI SPACE-TIME

被引：0

作者：

Ozdemir, Mustafa ^{[1
]}

Erdogdu, Melek ^{[2
]}

机构：

[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey

[2] Necmettin Erbakan Univ, Dept Math Comp Sci, Konya, Turkey

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2014年 / 74卷 / 01期

关键词：

Minkowski space-time; rotation matrix; Rodrigues formula; QUATERNIONS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a Rodrigues-like formula is derived for 4 x 4 semi skew-symmetric real matrices in E-1(4). For this purpose, we use the decomposition of a semi skew-symmetric matrix A = theta(1)A(1) + theta(2)A(2) by two unique semi skew-symmetric matrices A(1) and A(2) satisfying the properties A(1)A(2) = theta, A(1)(3) = A1 and A(2)(3) = A(2). Then, we find Lorentzian rotation matrices with semi skew-symmetric matrices by Rodrigues-like formula. Furthermore, we give a way to find the semi skew-symmetric matrix A for a given Lorentzian rotation matrix R such that R = e(A).

引用

页码：27 / 38

页数：12

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