Quantum particle constrained to a curved surface in the presence of a vector potential

Abstract

The Schrodinger equation for a charged particle constrained to a curved surface in the presence of a vector potential is derived using the method of forms. In the limit that the particle is brought infinitesimally close to the surface, a term arises that couples the component of the vector potential normal to the surface to the mean curvature of the surface.

added author and changed two ambiguous phrases. submitted to Phys. Rev. Lett