Unresolved Classical Electromagnetic Aspects of the Aharonov-Bohm Phase Shift
Abstract
The long-standing controversy regarding the Aharonov-Bohm phase shift is reviewed. The shifts of both optical and particle interference patterns are summarized. It is pointed out that a line of electric dipoles and a line of magnetic dipoles (a long solenoid) both produce experimentally observed phase shifts similar to that produced by introducing a rectangular block of glass behind one slit of a double-slit interference pattern; the double-slit pattern is shifted while the single-slit envelope remains undisplaced. The quantum explanation for the magnetic interference pattern shift introduced by Aharonov and Bohm in 1959 involves completely different ideas from those suggested by a semiclassical analysis. Experiments planned by Caprez, Barwick, and Batelaan should clarify the connections between classical and quantum theories in connection with the Ahronov-Bohm phase shift.
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Cite
@article{arxiv.0709.0661,
title = {Unresolved Classical Electromagnetic Aspects of the Aharonov-Bohm Phase Shift},
author = {Timothy H. Boyer},
journal= {arXiv preprint arXiv:0709.0661},
year = {2009}
}
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10 pages