Electrically neutral Dirac particles in the presence of external fields: exact solutions

TL;DR

This paper derives exact solutions to the Dirac equation for electrically neutral particles with anomalous moments in various external field configurations using algebraic separation of variables.

Contribution

It provides a comprehensive set of exact solutions for the Dirac equation in different coordinate systems, advancing understanding of neutral particles with anomalous moments.

Findings

Exact solutions in Cartesian, cylindrical, and spherical coordinates

Solutions expressed in terms of special functions

Enhanced understanding of neutral particles in external fields

Abstract

In the present article we present exact solutions of the Dirac equation for electric neutral particles with anomalous electric and magnetic moments. Using the algebraic method of separation of variables, the Dirac equation is separated in cartesian, cylindrical and spherical coordinates, and exact solutions are obtained in terms of special functions.