MG13 - Talk detail |
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Participant |
Oliveira, Ednilton | |||||||
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Institution |
Federal University of Para - Av. Augusto Correa, 01 - Belem - Para - Brazil | |||||||
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Session |
AT3 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Aharonov-Bohm effect in a draining bathtub vortex | |||||
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Abstract |
We study planar waves in a circulating, draining fluid flow, which: (i) exhibit an analogue of the Aharonov-Bohm (AB) effect in Quantum Mechanics; (ii) obey a Klein-Gordon equation on an "effective spacetime" which resembles the Kerr spacetime of General Relativity; and (iii) may be observed in the laboratory using gravity waves in a shallow basin. We describe a modified AB effect which depends on two dimensionless parameters, associated with the circulation alpha and draining beta rates; we call this the "alpha-beta effect". We show that the alpha-beta effect is inherently asymmetric even in the low-frequency limit, and that it leads to novel interference patterns which carry the signature of both rotation and absorption. |
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