{ "id": "quant-ph/9908087", "version": "v2", "published": "1999-08-30T18:25:01.000Z", "updated": "1999-10-07T02:57:08.000Z", "title": "Quantum particle constrained to a curved surface in the presence of a vector potential", "authors": [ "M. Encinosa", "Ray N. O'Neal, Jr." ], "comment": "added author and changed two ambiguous phrases. submitted to Phys. Rev. Lett", "categories": [ "quant-ph" ], "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.", "revisions": [ { "version": "v2", "updated": "1999-10-07T02:57:08.000Z" } ], "analyses": { "keywords": [ "quantum particle", "curved surface", "vector potential normal", "schrodinger equation", "brought infinitesimally close" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999quant.ph..8087E" } } }