On Bosnic Solutions of the Foldy-Wouthuysen and Dirac Equations for Free Field

TL;DR

This paper explores bosonic solutions of the Dirac equation in the Foldy-Wouthuysen representation, revealing additional bosonic features and analyzing their implications through Bargman-Wigner analysis.

Contribution

It introduces bosonic solutions of the Dirac equation in the Foldy-Wouthuysen representation and compares them with standard fermionic solutions, highlighting duality features.

Findings

Bosonic solutions of the Dirac equation are explicitly constructed.

Additional bosonic features of the Dirac equation are demonstrated.

Comparison with fermionic solutions reveals duality properties.

Abstract

The consideration of the Fermi - Bose duality of the Dirac equation with arbitrary mass has been continued. The bosonic solutions of this equation in the Foldy - Wouthuysen representation are found. The Bargman - Wigner analysis of additional solutions and comparison with standard fermionic solutions are carried out. The evident demonstration of additional bosonic features of the Foldy - Wouthuysen and Dirac equation is presented.