Abstracto
- The Dirac equation for a particle subject to a Coulomb potential, a 1/r scalar potential, and the potential of a magnetic monopole is solved by separation of variables using the spin-weighted spherical harmonics and the bound states are obtained. It is shown that the separation constants are the eigenvalues of the z-component and the square of the total angular momentum, which includes that of the electromagnetic field and the spin of the particle. We find that, under certain conditions, there exist solutions where the spin is in the outward or inward radial direction.