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arXiv · 0808.1891

The Aharonov-Bohm effect for a knotted magnetic solenoid

Roman V. Buniy·Thomas W. Kephart
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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).

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Roman V. Buniy, Thomas W. Kephart. 2008-08-13. The Aharonov-Bohm effect for a knotted magnetic solenoid. https://doi.org/10.1016/j.physleta.2009.01.009

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