Fermion Pair Production in Planar Coulomb and Aharonov-Bohm Potentials

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Title:	Fermion Pair Production in Planar Coulomb and Aharonov-Bohm Potentials
Authors:	Khalilov, V. R.;Ho, Choon-Lin
Contributors:	淡江大學物理學系
Date:	2009-06
Issue Date:	2013-07-18 11:16:26 (UTC+8)
Publisher:	臺北市：中華民國物理學會
Abstract:	Exact analytic solutions are found for the Dirac equation in 2+1 dimensions for a spinone- 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 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 found that the presence of the Ahanorov-Bohm flux tends to stabilize the system.
Relation:	Chinese Journal of Physics=中華民國物理學刊 47(3), pp.294-304
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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