Motion of a Charged Particle in an Electromagnetic Field

Equations of motion of a charged particle in the Coulomb field of an electric charge combined with the magnetic field of a magnetic monopole at the same point are integrable by separation of variables in classical dynamics as well as in relativistic dynamics. The Schrodinger equation and the Dirac equation of the particle are also soluble by separation of variables. While eigenvalues and eigenfunctions of the angular operator are different from those of the pure Coulomb field, the energy formula is very similar to that of the pure Coulomb field.