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

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

1999-08-30

arxiv.org/abs/quant-ph/9908087v2

Physics

Quantum Physics

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

Scientific paper

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.

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