Quantum mechanics on curved 2D systems with electric and magnetic fields

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dc.creatorFerrari, Giulio
dc.creatorCuoghi, Giampaolo
dc.date2008-03-18
dc.date.accessioned2026-07-07T13:02:59Z
dc.date.available2026-07-07T13:02:59Z
dc.descriptionWe derive the Schroedinger equation for a spinless charged particle constrained to a curved surface with electric and magnetics fields applied. The particle is confined on the surface using a thin-layer procedure, giving rise to the well-known geometric potential. The electric and magnetic fields are included via the four-potential. We find that there is no coupling between the fields and the surface curvature and that, with a proper choice of the gauge, the surface and transverse dynamics are exactly separable. Finally, the Hamiltonian for the cylinder, sphere and torus are analytically derived.
dc.identifierhttps://arxiv.org/abs/0803.2670
dc.identifierhttp://arxiv.org/abs/0803.2670
dc.identifierPhysical Review Letters 100, 230403 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.230403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226637
dc.subjectQuantum Physics
dc.subjectMesoscale and Nanoscale Physics
dc.titleQuantum mechanics on curved 2D systems with electric and magnetic fields
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