On the relativistic description of charges fermions

TL;DR

This paper proposes a new method for describing charged relativistic Fermi fields, treating particles and antiparticles symmetrically and introducing a charge quantum number, with a consistent probabilistic interpretation.

Contribution

It introduces a novel approach that treats particles and antiparticles equally and excludes negative energy states in relativistic Fermi field descriptions.

Findings

Equal treatment of particles and antiparticles

Introduction of charge quantum number

Probabilistic interpretation of wave functions

Abstract

A method for describing charged relativistic Fermi fields is proposed, in which particles of opposite charges are treated equally and states with negative energy are excluded. The concept of charge quantum number is introduced. Fields of particles and antiparticles with different charge quantum numbers are associated with wave functions for which the Born interpretation as probability amplitudes is valid.