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Phys. Rev. A 65, 052124 (2002) [5 pages]

Superoscillations and tunneling times

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Yakir Aharonov1,2, Noam Erez1, and Benni Reznik1
1School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
2Department of Physics, University of South Carolina, Columbia, South Carolina 29208

Received 17 October 2001; published 17 May 2002

It is proposed that superoscillations play an important role in the interferences that give rise to superluminal effects. To exemplify that, we consider a toy model that a wave packet to travel in zero time and negligible distortion, a distance arbitrarily larger than the width of the wave packet. The peak is shown to result from a superoscillatory superposition at the tail. Similar reasoning applies to the dwell time.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.052124
DOI:
10.1103/PhysRevA.65.052124
PACS:
03.65.Xp, 03.65.Ta