Adiabatic Motion of a Quantum Particle in a Two-Dimensional Magnetic Field

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dc.creatorMaraner, P.
dc.date1995-08-29
dc.date.accessioned2026-07-07T10:58:37Z
dc.date.available2026-07-07T10:58:37Z
dc.descriptionThe adiabatic motion of a charged, spinning, quantum particle in a two - dimensional magnetic field is studied. A suitable set of operators generalizing the cinematical momenta and the guiding center operators of a particle moving in a homogeneous magnetic field is constructed. This allows us to separate the two degrees of freedom of the system into a {\sl fast} and a {\sl slow} one, in the classical limit, the rapid rotation of the particle around the guiding center and the slow guiding center drift. In terms of these operators the Hamiltonian of the system rewrites as a power series in the magnetic length $\lb=\sqrt{\hbar c\over eB}$ and the fast and slow dynamics separates. The effective guiding center Hamiltonian is obtained to the second order in the adiabatic parameter $\lb$ and reproduces correctly the classical limit.
dc.description17 pages, LaTex
dc.identifierhttps://arxiv.org/abs/hep-th/9508160
dc.identifierhttp://arxiv.org/abs/hep-th/9508160
dc.identifierJ.Phys.A29:2199-2210,1996
dc.identifierdoi:10.1088/0305-4470/29/9/030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187162
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleAdiabatic Motion of a Quantum Particle in a Two-Dimensional Magnetic Field
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