Solution of Dirac Equation for Charged and Neutral Fermions with Anomalous Magnetic Moments in Uniform Magnetic Field

TL;DR

This paper solves the Dirac equation for fermions with anomalous magnetic moments in a uniform magnetic field, deriving wave functions and energy spectra that align with non-relativistic solutions.

Contribution

It provides exact relativistic solutions for charged and neutral fermions with anomalous magnetic moments in a uniform magnetic field, extending previous non-relativistic results.

Findings

Derived relativistic wave functions and energy spectra

Confirmed consistency with non-relativistic Schrödinger solutions

Applicable to charged and neutral fermions in magnetic fields

Abstract

The Dirac equation for charged and neutral fermions with anomalous magnetic moments is solved in a uniform magnetic field. We find the relativistic wave functions and energy spectra. In the non-relativistic limit the wave functions and energy spectra of charged fermions agree with the known solutions of the Schroedinger equation.