Early times in tunneling

2000/08/03 by Gaston Garcia-Calderon, Garcia-Calderon, Gaston, Jorge Villavicencio +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0008014

4 pages, 2 figures

arxiv created 2000/08/03 · arxiv updated 2009/12/01

Abstract

Exact analytical solutions of the time-dependent Schrödinger equation with the initial condition of an incident cutoff wave are used to investigate the traversal time for tunneling. The probability density starts from a vanishing value along the tunneling and transmitted regions of the potential. At the barrier width it exhibits, at early times, a distribution of traversal times that typically has a peak τ_p and a width Δτ. Numerical results for other tunneling times, as the phase-delay time, fall within Δτ. The Büttiker traversal time is the closest to τ_p. Our results resemble calculations based on Feynman paths if its noisy behaviour is ignored.

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