Relativistic Aharonov-Bohm-Coulomb Problem

Details Relativistic Aharonov-Bohm-Coulomb Problem Relativistic Aharonov-Bohm-Coulomb Problem

1994-10-28

arxiv.org/abs/hep-th/9410225v1

J.KoreanPhys.Soc.29:17-26,1996

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, UR-1393, ER-40685-842

Scientific paper

The Aharonov-Bohm effect is analyzed for a spin-1/2 particle in the case that a $1/r$ potential is present. Scalar and vector couplings are each considered. It is found that the approach in which the flux tube is given a finite radius that is taken to zero only after a matching of boundary conditions does not give physically meaningful results. Specifically, the operations of taking the limit of zero flux tube radius and the Galilean limit do not commute. Thus there appears to be no satisfactory solution of the relativistic Aharonov-Bohm-Coulomb problem using the finite radius flux tube method.

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