Tunneling time scale of under-the-barrier forerunners

Gaston Garcia-Calderon; Jorge Villavicencio

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Tunneling time scale of under-the-barrier forerunners

Gaston Garcia-Calderon·Jorge Villavicencio

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Abstract

Time-dependent analytical solutions to Schrödinger's equation with quantum shutter initial conditions are used to investigate the issue of the tunneling time of forerunners in rectangular potential barriers. By using a time-frequency analysis, we find the existence of a regime characterized by the opacity of the barrier, where the maximum peak of a forerunner measured at the barrier transmission edge $x=L$ corresponds to a genuine tunneling process. The corresponding time scale represents the tunneling time of the forerunner through the classically forbidden region.

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Gaston Garcia-Calderon, Jorge Villavicencio. 2002-10-29. Tunneling time scale of under-the-barrier forerunners. https://arxiv.org/abs/quant-ph/0210094

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