Superoscillations and tunneling times
arXiv:quant-ph/0110104 · doi:10.1103/PhysRevA.65.052124
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.
12 pages
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