cond-mat/9802158Feb 14, 19985 pages, RevTeX. Discussions of paraxial approximation to the Aharonov-Bohm solution (Cornu spiral) and S-matrix, are extended. References are added

Magnetic Force Exerted by the Aharonov-Bohm Line

Andrei Shelankov

Mesoscale and Nanoscale Physics Strongly Correlated Electrons Superconductivity Fluid Dynamics Quantum Physics

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Abstract

The problem of the scattering of a charge by the Aharonov-Bohm (AB) flux line is reconsidered in terms of finite width beams. It is shown that despite the left-right symmetry in the AB scattering cross-section, the charge is scattered asymmetrically. The asymmetry (i.e. magnetic force) originates from almost forward scattering within the angular size of the incident wave. In the paraxial approximation, the real space solution to the scattering problem of a beam is found as well as the scattering S-matrix. The Boltzmann kinetics and the Landau quantization in a random AB array are considered.

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