Superluminal effects for quantum tunneling through two successive barriers
Abstract
We study the phenomenon of one-dimensional non-resonant tunnelling through two successive potential barriers, separated by an intermediate free region R, by analyzing the relevant solutions to the Schroedinger equation. We find that the total traversal time is INDEPENDENT not only of the barrier widths (the so-called "Hartman effect"), but also of the R-width: so that the effective velocity in the region R, between the two barriers, can be regarded as infinite. This agrees with the results known from the corresponding waveguide experiments, which simulated the tunnelling experiment herein considered because of the formal identity between the Schroedinger and the Helmholtz equation [PACS numbers: 73.40.Gk; 03.65.-w; 03.30.+p; 41.20.Jb; 84.40.Az].
Keywords
Cite
@article{arxiv.quant-ph/0002022,
title = {Superluminal effects for quantum tunneling through two successive barriers},
author = {Vladislav S. Olkhovsky and Erasmo Recami and Giovanni Salesi},
journal= {arXiv preprint arXiv:quant-ph/0002022},
year = {2015}
}
Comments
plain LaTeX file (8 pages), including 1 figure (in LaTeX). Replaced with improvements in some intermediary equations