Tunneling time scale of under-the-barrier forerunners

Details Tunneling time scale of under-the-barrier forerunners Tunneling time scale of under-the-barrier forerunners

2002-10-12

arxiv.org/abs/quant-ph/0210094v2

Physics

Quantum Physics

(1) Equation (1) was removed. (2) The first and second paragraphs in the second column of p.1 were modified. (3) In Fig. 1 we

Scientific paper

Time-dependent analytical solutions to Schr\"{o}dinger'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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