Application of the SU(1, 1) spinors in the study of the Lorentz transformations (6 pages)

• G.F. Torres del Castillo ^[1]
  1. [1] Benemérita Universidad Autónoma de Puebla

     Benemérita Universidad Autónoma de Puebla

     México

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 69, Nº. 4, 2023
• Idioma: inglés
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• Resumen

  • 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.