The Aharonov-Bohm effect for a knotted magnetic solenoid

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, 7 figures

Scientific paper

10.1016/j.physleta.2009.01.009

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).

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