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Tunnelling time of a gaussian wave packet through two potential barriers

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Central European Journal of Physics

Abstract

The resonant and non-resonant dynamies of a Gaussian quantum wave packet travelling through a double barrier system is studied as a function of the initial characteristics of the spectrum and of the parameters of the potential. The behaviour of the tunnelling time shows that there are situations where the Hartman effect occurs, while, when the resonances are dominant, and in particular for b>π/Δk (b being the inter-barrier distance and Δk the spectrum width), the tunnelling time becomes very large and the Hartman effect does not take place.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Milano-INFN-INFM, Via Celoria, 16, Milano, Italy

    Vittoria Petrillo

  2. Institute for Nuclear Research, Ukrainian Academy of Sciences, Prospect Nauki, 47 252028, Kiev, Ukraine

    Vladislav S. Olkhovsky

Authors
  1. Vittoria Petrillo
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  2. Vladislav S. Olkhovsky
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Petrillo, V., Olkhovsky, V.S. Tunnelling time of a gaussian wave packet through two potential barriers. centr.eur.j.phys. 3, 339–350 (2005). https://doi.org/10.2478/BF02475642

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  • DOI: https://doi.org/10.2478/BF02475642

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