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

M. Encinosa; Ray N. O'Neal, Jr.

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

M. Encinosa·Ray N. O'Neal, Jr.

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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.

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M. Encinosa, Ray N. O'Neal, Jr.. 1999-08-30. Quantum particle constrained to a curved surface in the presence of a vector potential. https://arxiv.org/abs/quant-ph/9908087

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