Salecker-Wigner-Peres clock and average tunneling times

Abstract

The quantum clock of Salecker-Wigner-Peres is used, by performing a post-selection of the final state, to obtain average transmission and reflection times associated to the scattering of localized wave packets by static potentials in one dimension. The behavior of these average times is studied for a gaussian wave packet, centered around a tunneling wave number, incident on a rectangular barrier and, in particular, on a double delta barrier potential. The regime of opaque barriers is investigated and the results show that the average transmission time does not saturate, showing no evidence of the Hartman effect (or its generalized version).

9 pages, 4 figures

References in corpus (5)

• Complex weak values in quantum measurement
• The meaning of group delay in barrier tunneling: A re-examination of superluminal group velocities
• Quantum time scales in alpha tunneling
• On the Salecker-Wigner-Peres clock and double barrier tunneling
• Relativistic Tunneling Through Two Successive Barriers

Cited by in corpus (10)

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• "Superluminal paradox" in wavepacket propagation and its quantum mechanical resolution
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• The time distribution of quantum events
• Comparing experiments on quantum traversal time with the predictions of a space-time-symmetric formalism
• The Hartman effect and weak measurements "which are not really weak"
• Tunneling time problem: At the intersection of quantum mechanics, classical probability theory and special relativity
• On the generalized Hartman effect and transmission time for a particle tunneling through two identical rectangular potential barriers
• A Bayesian view of Single-Qubit Clocks, and an Energy versus Accuracy tradeoff
• Tunneling time and superposition principle