Scattering of spin-polarized electron in an Aharonov--Bohm potential

V. R. Khalilov; Choon-Lin Ho

doi:10.1016/j.aop.2007.08.007

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arXiv · 0708.3131

Scattering of spin-polarized electron in an Aharonov--Bohm potential

V. R. Khalilov·Choon-Lin Ho

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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.

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V. R. Khalilov, Choon-Lin Ho. 2007-10-05. Scattering of spin-polarized electron in an Aharonov--Bohm potential. https://doi.org/10.1016/j.aop.2007.08.007

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