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Phys. Rev. Lett. 83, 2486–2489 (1999)

Maxwell Duality, Lorentz Invariance, and Topological Phase

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Jonathan P. Dowling* and Colin P. Williams
Quantum Computing Technologies Group, Mail Stop 126-347, Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California 91109

J. D. Franson
Applied Physics Laboratory, The Johns Hopkins University, Laurel, Maryland 20723

Received 28 May 1999; published in the issue dated 27 September 1999

We discuss the Maxwell electromagnetic duality relations between the Aharonov-Bohm, Aharonov-Casher, and He-McKellar-Wilkens topological phases, which allow a unified description of all three phenomena. We also elucidate Lorentz transformations which allow these effects to be understood in an intuitive fashion in the rest frame of the moving quantum particle. Finally, we propose two experimental schemes for measuring the He-McKellar-Wilkens phase.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.2486
DOI:
10.1103/PhysRevLett.83.2486
PACS:
03.65.Bz, 11.30.Cp, 14.80.Hv, 32.60.+i

*Electronic address: jdowling@jpl.nasa.gov