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Phys. Rev. Lett. 91, 260401 (2003) [4 pages]

Delay Time and the Hartman Effect in Quantum Tunneling

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Herbert G. Winful
Department of Electrical Engineering and Computer Science, University of Michigan, 1301 Beal Avenue, Ann Arbor, Michigan 48109-2122, USA

Received 19 March 2003; published 23 December 2003

A general relation between the group delay and the dwell time is derived for quantum tunneling. It is shown that the group delay is equal to the dwell time plus a self-interference delay. The Hartman effect in quantum tunneling is explained on the basis of saturation of the integrated probability density (or number of particles) under the barrier.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.260401
DOI:
10.1103/PhysRevLett.91.260401
PACS:
03.65.Xp, 73.43.Jn, 73.40.Gk