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

Authors

DOI:

https://doi.org/10.31349/RevMexFis.69.040701

Keywords:

Lorentz transformations, spinors, Wigner angle, hyperbolic geometry, holonomy angle

Abstract

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

References

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Published

2023-07-04

How to Cite

[1]
G. F. Torres del Castillo, “Application of the SU(1, 1) spinors in the study of the Lorentz transformations”, Rev. Mex. Fís., vol. 69, no. 4 Jul-Aug, pp. 040701 1–, Jul. 2023.

Issue

Vol. 69 No. 4 Jul-Aug (2023): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

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Copyright (c) 2023 Gerardo Francisco Torres del Castillo

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