M. Encinosa, Ray N. O'Neal, Jr.
Published 1999-08-30, updated 1999-10-07Version 2
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.
Comments: added author and changed two ambiguous phrases. submitted to Phys. Rev. Lett
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