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

1999/08/30 by M. Encinosa, Encinosa, M., Ray N. O'Neal +2 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #Spectral Theory in Mathematical Physics #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9908087

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

openalex publication_date 1999/08/30 · arxiv created 1999/10/07 · arxiv updated 2012/08/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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