Quantum dynamics of a particle constrained to lie on a surface

Journal Article · Mon Sep 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4895761· OSTI ID:22306034

Oliveira, Gustavo de, E-mail: [e-mail] ^[1]

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1. Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115 Bonn (Germany)

We consider the quantum dynamics of a charged particle in Euclidean space subjected to electric and magnetic fields under the presence of a potential that forces the particle to stay close to a compact surface. We prove that, as the strength of this constraining potential tends to infinity, the motion of this particle converges to a motion generated by a Hamiltonian over the surface superimposed by an oscillatory motion in the normal directions. Our result extends previous results by allowing magnetic potentials and more general constraining potentials.

• OSTI ID: 22306034
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHARGED PARTICLES
EUCLIDEAN SPACE
HAMILTONIANS
MAGNETIC FIELDS
PARTICLES
POTENTIALS