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

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