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

## TL;DR

This paper explicitly constructs solutions of relativistic quantum equations in the helicity basis for spins 1/2 and 1, analyzing relations between Dirac-like and Majorana-like operators, and exploring features of bradyonic and tachyonic solutions.

## Contribution

It introduces explicit helicity basis solutions for relativistic quantum fields with spin 1/2 and 1, and analyzes their operator relations and properties.

## Key findings

- Explicit helicity basis solutions for S=1/2 and S=1.
- Relations between Dirac-like and Majorana-like operators.
- Features of bradyonic and tachyonic solutions.

## 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.