Volume 57, Number 6, March 2002
|Page(s)||879 - 884|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 August 2002|
Superluminal tunneling through two successive barriers*
Institute for Nuclear Research - Kiev-03028, Ukraine, and
Research Center “Vidhuk", Kiev, Ukraine
2 Facoltà di Ingegneria, Università Statale di Bergamo - 24044 Dalmine (BG), Italy
3 INFN-Sezione di Milano - Milano, Italy
4 CCS, State University at Campinas - Campinas, S.P., Brazil
Accepted: 12 February 2002
We study the phenomenon of one-dimensional non-resonant tunneling through two successive (opaque) potential barriers, separated by an intermediate free region , by analyzing the relevant solutions to the Schroedinger equation. We find that the total traversal time does not depend not only on the barrier widths (the so-called “Hartman effect"), but also on the width: so that the effective velocity in the region , between the two barriers, can be regarded as practically infinite. This agrees with the results known from the corresponding waveguide experiments, which simulated the tunneling experiment herein considered due to the known formal identity between the Schroedinger and the Helmholtz equation.
PACS: 73.40.Gk – Tunneling / 03.65.-w – Quantum mechanics / 03.30.+p – Special relativity
© EDP Sciences, 2002
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