  The time dependent Schrodinger equation inclusive of curvature effects is
developed for a spinless electron constrained to motion on a toroidal surface
and subjected to circularly polarized and linearly polarized waves in the
microwave regime. A basis set expansion is used to determine the character of
the surface currents as the system is driven at a particular resonance
frequency. Surface current densities and magnetic moments corresponding to
those currents are calculated. It is shown that the currents can yield magnetic
moments large not only along the toroidal symmetry axis, but along directions
tangential and normal to the toroidal surface as well.
