Magnetic Force Exerted by the Aharonov-Bohm Line (II)
Abstract
The controversial question of the transverse force exerted by the Aharonov-Bohm (AB) magnetic flux line is reconsidered with the help of a new paraxial solution to the AB-scattering problem. It is shown that despite the left-right symmetry in the AB scattering cross-section, a beam of a finite width is deflected by the AB-line as if by the ``Lorentz'' force. The asymmetry and the magnetic force originate from the quantum interference in the forward direction within the angular size of the incident wave. In the context of the superfluid He-4 theory, the paper confirmes the Iordanskii force acting on the vortex line.
Cite
@article{arxiv.cond-mat/9809319,
title = {Magnetic Force Exerted by the Aharonov-Bohm Line (II)},
author = {A. L. Shelankov},
journal= {arXiv preprint arXiv:cond-mat/9809319},
year = {2009}
}
Comments
Apart from small modifications in layout, this is the published version of cond-mat/9802158. Major changes in presentation. The theory of the Aharonov-Bohm random array discussed in cond-mat/9802158 is omitted to fit the EPL-format. RevTeX, 5 pages