Beginnings of the Helicity Basis in the (S,0)+(0,S) Representations of the Lorentz Group

Abstract

We write solutions of relativistic quantum equations explicitly in the helicity basis for S=1/2 and S=1. We present the analyses of relations between Dirac-like and Majorana-like field operators. Several interesting features of bradyonic and tachyonic solutions are presented.

arXiv comment10 pages, no figures, To be published in the Proceedings of the Grossmann Meeting (MG15), Jul. 1-7, 2018, Rome, Italy. (World Scientific , 2019)