Application of the SU(1,1) spinors in the study of the Lorentz transformations

被引：0
|
作者：
del Castillo, G. F. Torres [1 ]
机构：
[1] Benemerita Univ Autonoma Puebla, Inst Ciencias, Puebla 72570, Pue, Mexico
来源：
REVISTA MEXICANA DE FISICA | 2023年 / 69卷 / 04期
关键词：
Lorentz transformations; SU(1; 1) spinors; Wigner angle; hyperbolic geometry; holonomy angle;
D O I：
10.31349/RevMexFis.69.040701
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that the orthochronous proper Lorentz transformations that preserve the condition z = 0 can be parametrized by (two-component) SU(1, 1) spinors in such a way that the Wigner angle associated with a pair of non-collinear boosts is given by one of the scalar products defined between these spinors.
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页数：6
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