2023•Revista Mexicana de FísicaOpen access

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

G. F. Torres del Castillo

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

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Key concepts: Spinor, Lorentz transformation, Scalar (mathematics), Physics, Mathematical physics, Pure spinor, Theoretical physics, Classical mechanics