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Quantum Physics

Title: 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].
Comments: plain LaTeX file (8 pages), including 1 figure (in LaTeX). Replaced with improvements in some intermediary equations
Subjects: Quantum Physics (quant-ph); General Physics (physics.gen-ph)
Journal reference: Europhysics Letters, 57 2002 879-884
DOI: 10.1209/epl/i2002-00592-1
Cite as: arXiv:quant-ph/0002022
  (or arXiv:quant-ph/0002022v5 for this version)

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)