References & Citations
Quantum Physics
Title: Superluminal effects for quantum tunneling through two successive barriers
(Submitted on 8 Feb 2000 (v1), last revised 23 Jan 2002 (this version, v5))
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].
Submission history
From: Erasmo Recami [view email][v1] Tue, 8 Feb 2000 23:13:02 GMT (7kb)
[v2] Thu, 10 Feb 2000 23:22:15 GMT (7kb)
[v3] Fri, 18 Aug 2000 18:23:43 GMT (7kb)
[v4] Sun, 8 Jul 2001 01:18:15 GMT (9kb)
[v5] Wed, 23 Jan 2002 23:22:29 GMT (9kb)