Scattering of spin-polarized electron in an Aharonov--Bohm potential
High Energy Physics - Theory
2008-11-26 v2 Other Condensed Matter
Mathematical Physics
math.MP
Quantum Physics
Abstract
The scattering of spin-polarized electrons in an Aharonov--Bohm vector potential is considered. We solve the Pauli equation in 3+1 dimensions taking into account explicitly the interaction between the three-dimensional spin magnetic moment of electron and magnetic field. Expressions for the scattering amplitude and the cross section are obtained for spin-polarized electron scattered off a flux tube of small radius. It is also shown that bound electron states cannot occur in this quantum system. The scattering problem for the model of a flux tube of zero radius in the Born approximation is briefly discussed.
Keywords
Cite
@article{arxiv.0708.3131,
title = {Scattering of spin-polarized electron in an Aharonov--Bohm potential},
author = {V. R. Khalilov and Choon-Lin Ho},
journal= {arXiv preprint arXiv:0708.3131},
year = {2008}
}
Comments
11 pages, no figures. Minor typos corrected