Superoscillations and tunneling times
Quantum Physics
2009-11-07 v1
Abstract
It is proposed that superoscillations play an important role in the interferences which give rise to superluminal effects. To exemplify that, we consider a toy model which allows for 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.
Keywords
Cite
@article{arxiv.quant-ph/0110104,
title = {Superoscillations and tunneling times},
author = {Yakir Aharonov and Noam Erez and Benni Reznik},
journal= {arXiv preprint arXiv:quant-ph/0110104},
year = {2009}
}
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12 pages