A DECOUPLED SOLUTION TO THE GENERALIZED EULER DECOMPOSITION PROBLEM IN R-3 AND R-2,R-1

被引：17

作者：

Brezov, Danail ^{[1
]}

Mladenova, Clementina ^{[2
]}

Mladenov, Ivailo ^{[3
]}

机构：

[1] Univ Architecture Civil Engn & Geodesy, Dept Math, 1 Hristo Smirnenski Blvd, Sofia 1046, Bulgaria

[2] Bulgarian Acad Sci, Inst Mech, BU-1113 Sofia, Bulgaria

[3] Bulgarian Acad Sci, Inst Biophys, BU-1113 Sofia, Bulgaria

来源：

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2014年 / 33卷

关键词：

D O I：

10.7546/jgsp-33-2014-47-78

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article we suggest a new method, partially based on earlier works of Wohlhart [15], Mladenova and Mladenov [11], Brezov et al [3], that resolves the generalized Euler decomposition problem (about arbitrary axes) using a system of quadratic equations. The main contribution made here is that we manage to decouple this system and express the solutions independently in a compact covariant form. We apply the same technique to the Lorentz group in 2+1 dimensions and discuss certain complications related to the presence of isotropic directions in R-2,R-1

引用

页码：47 / 78

页数：32

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