The Aharonov-Bohm effect for a knotted magnetic solenoid
High Energy Physics - Theory
2009-02-16 v1
Abstract
We show that the linking of a semiclassical path of a charged particle with a knotted magnetic solenoid results in the Aharonov-Bohm effect. The phase shift in the wave function is proportional to the flux intersecting a certain connected and orientable surface bounded by the knot (a Seifert surface of the knot).
Keywords
Cite
@article{arxiv.0808.1891,
title = {The Aharonov-Bohm effect for a knotted magnetic solenoid},
author = {Roman V. Buniy and Thomas W. Kephart},
journal= {arXiv preprint arXiv:0808.1891},
year = {2009}
}
Comments
9 pages, 7 figures