Tunneling time scale of under-the-barrier forerunners
Abstract
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 corresponds to a genuine tunneling process. The corresponding time scale represents the tunneling time of the forerunner through the classically forbidden region.
Keywords
Cite
@article{arxiv.quant-ph/0210094,
title = {Tunneling time scale of under-the-barrier forerunners},
author = {Gaston Garcia-Calderon and Jorge Villavicencio},
journal= {arXiv preprint arXiv:quant-ph/0210094},
year = {2007}
}
Comments
(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 removed the plot of $t_p$. (4) We added an inset to Fig. 4