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arXiv · quant-ph/0110104

Superoscillations and tunneling times

Yakir Aharonov·Noam Erez·Benni Reznik
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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.

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Yakir Aharonov, Noam Erez, Benni Reznik. 2001-10-17. Superoscillations and tunneling times. https://doi.org/10.1103/physreva.65.052124

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