Fermion pair production in planar Coulomb and Aharonov--Bohm potentials

Simple item page
dc.creatorKhalilov, V. R.
dc.creatorHo, Choon-Lin
dc.date2007-10-04
dc.date2008-12-16
dc.date.accessioned2026-07-07T12:12:33Z
dc.date.available2026-07-07T12:12:33Z
dc.descriptionExact analytic solutions are found for the Dirac equation in 2+1 dimensions for a spin-one-half particle in a combination of the Lorentz 3-vector and scalar Coulomb as well as Aharonov--Bohm potentials. We employ the two-component Dirac equation which contains a new parameter introduced by Hagen to describe the spin of the spin-1/2 particle. We derive a transcendental equations that implicitly determine the energy spectrum of an electron near the negative-energy continuum boundary and the critical charges for some electron states. Fermion pair production from a vacuum by a strong Coulomb field in the presence of the magnetic flux tube of zero radius is considered. It is shown that the presence of the Ahanorov--Bohm flux tends to stabilize the system.
dc.description8 pages, no figures. Title changed, some sentences refined, refereces updated
dc.identifierhttps://arxiv.org/abs/0710.0959
dc.identifierhttp://arxiv.org/abs/0710.0959
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210582
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.subjectStrongly Correlated Electrons
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleFermion pair production in planar Coulomb and Aharonov--Bohm potentials
dc.typetext

Files

Collections

arXiv