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Barrier interaction time in tunneling

R. Landauer and Th. Martin

R. Landauer

  • IBM T. J. Watson Research Center, Yorktown Heights, New York 10598

Th. Martin

  • Center for Non-Linear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

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Rev. Mod. Phys. 66, 217 – Published 1 January, 1994

DOI: https://doi.org/10.1103/RevModPhys.66.217

Abstract

Over sixty years ago, it was suggested that there is a time associated with the passage of a particle under a tunneling barrier. The existence of such a time is now well accepted; in fact the time has been measured experimentally. There is no clear consensus, however, about the existence of a simple expression for this time, and the exact nature of that expression. The proposed expressions fall into three main classes. The authors argue that expressions based on following a feature of a wave packet through the barrier have little physical significance. A second class tries to identify a set of classical paths associated with the quantum-mechanical motion and then tries to average over these. This class is too diverse to permit assessment as a single entity. The third class invokes a physical clock involving degrees of freedom in addition to that involved in tunneling. This not only is a prescription for the derivation of expressions for the traversal time but also leads to a direct relationship to experiment.

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Rev. Mod. Phys. 66, 217– Published 1 January, 1994

    © 1994 American Physical Society

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