From Soft Dirac Monopoles to the Dirac Equation

Abstract

In the model of topological particles we have four types of topologically stable dual Dirac monopoles with soft cores and finite mass. We discuss the steps for getting a Dirac equation for these particles. We show for the free and the interacting case that we arrive at the Dirac equation in the limit, where the soft solitons approach singular dual Dirac monopoles.

Keywords

• solitons
• topological particles
• electric monopoles
• spin
• quantum mechanics
• Dirac equation