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

Journal Article · Thu May 15 00:00:00 EDT 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2007.08.007· OSTI ID:21163696

Khalilov, V R ^[1]

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1. Faculty of Physics, Moscow State University, 119899 Moscow (Russian Federation)

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.

• OSTI ID: 21163696
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 5 Vol. 323; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AHARONOV-BOHM EFFECT
BORN APPROXIMATION
CROSS SECTIONS
ELECTRONS
EQUATIONS
MAGNETIC FIELDS
MAGNETIC MOMENTS
POTENTIAL SCATTERING
POTENTIALS
SCATTERING AMPLITUDES
SPIN
SPIN ORIENTATION
THREE-DIMENSIONAL CALCULATIONS