Superoscillations and tunneling times

Details Superoscillations and tunneling times Superoscillations and tunneling times

2001-10-17

arxiv.org/abs/quant-ph/0110104v1

Phys. Rev. A 65, 052124 (2002).

Physics

Quantum Physics

12 pages

Scientific paper

10.1103/PhysRevA.65.052124

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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