The Second-Order Equation from the (1/2,0)+ (0,1/2) Representation of the Poincare Group

TL;DR

This paper derives a second-order equation for spin-1/2 particles from fundamental principles within the (1/2,0)+(0,1/2) Poincare group representation, exploring its potential to describe different mass and spin states.

Contribution

It introduces a derivation of the Barut-Wilson-Fushchich second-order equation from first principles for the (1/2,0)+(0,1/2) representation.

Findings

Derivation of the second-order equation from fundamental principles

Discussion on describing various mass and spin states

Potential applications in particle physics models

Abstract

On the basis of the first principles we derive the Barut-Wilson-Fushchich second-order equation in the (1/2,0)+(0,1/2) representation. Then we discuss the possibility of the description of various mass and spin states in such a framework.