# Magnetic Force Exerted by the Aharonov-Bohm Line

Source: [Magnetic Force Exerted by the Aharonov-Bohm Line](<https://www.sota2.com/research/paper/68fa34251e209131ce896284>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:29:17.214Z

Authors: Andrei Shelankov

Published: 1998-02-14T21:29:23.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9802158>)

[PDF](<https://arxiv.org/pdf/cond-mat/9802158.pdf>)