Abstract

DIAZ CRUZ, J.L.; LARIOS, B.; MEZA ALDAMA, O.  and  REYES PEREZ, J.. Espinores de Weyl y el formalismo de helicidad. Rev. mex. fís. E [online]. 2015, vol.61, n.2, pp.104-112. ISSN 1870-3542.

In this work we give a review of the original formulation of the relativistic wave equation for particles with spin one-half. Traditionally (Ã la Dirac), it's proposed that the "square root" of the Klein-Gordon (K-G) equation involves a 4 component (Dirac) spinor and in the non-relativistic limit it can be written as 2 equations for two 2 component spinors. On the other hand, there exists Weyl's formalism, in which one works from the beginning with 2 component Weyl spinors, which are the fundamental objects of the helicity formalism. In this work we rederive Weyl's equations directly, starting from K-G equation We also introduce the electromagnetic interaction with the Weyl spinors. As an example of the use of that formalism, we calculate Compton scattering using the helicity methods.

Keywords : Weyl spinors; helicity formalism; Compton scattering.

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