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European Journal of Physics

A simple semiclassical derivation of Hartman's effect

Massimiliano Sassoli de Bianchi

Published May 24, 2000• 7 citations
Publisher

Abstract

We present a very simple semiclassical derivation of Hartman's effect valid for potential barriers of general shape. The derivation also gives some insight into the tunnelling time phenomenon.
DOI
10.1088/0143-0807/21/4/101

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Recent papers suggest that tunneling wave packets traverse the region of allowed propagation between two potential barriers with superluminal group velocity and in a time independent of barrier separation. This phenomenon has been termed the "generalized Hartman effect" and extended to multiple barriers. Here we show that this delay time is not a transit time but a cavity lifetime. It does not imply superluminal velocity. Reported experimental verifications of this effect are reinterpreted.