Non-standard solutions of relativistic wave equations and decays of elementary particles

TL;DR

This paper reviews non-standard solutions of relativistic wave equations, showing they involve higher-order spinors and describe decaying states, expanding understanding of particle decay processes.

Contribution

It introduces a method to derive non-standard solutions involving higher-order spinors that describe decaying states, providing new insights into relativistic wave equations.

Findings

Non-standard solutions involve higher-order spinors.

These solutions describe decaying elementary particles.

They are also solutions of the Dirac equation.

Abstract

We carry out a constructive review of non-standard solutions of relativistic wave equations. Such solutions are obtained via splitting of relativistic wave equations written in spinor form. All these solutions are also solutions of the Dirac equation and are non-standard because they involve higher-order spinors. The main finding is that non-standard solutions describe decaying states.