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Tunneling time scale of under-the-barrier forerunners

2002/10/12 by Gaston Garcia-Calderon, Gastón García‐Calderón, Garcia-Calderon, Gaston +2
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum optics and atomic interactions #Semiconductor Quantum Structures and Devices #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0210094

(1) Equation (1) was removed. (2) The first and second paragraphs in the second column of p.1 were modified. (3) In Fig. 1 we removed the plot of $t_p$. (4) We added an inset to Fig. 4

openalex publication_date 2002/10/12 · arxiv created 2002/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Time-dependent analytical solutions to Schrödinger's equation with quantum shutter initial conditions are used to investigate the issue of the tunneling time of forerunners in rectangular potential barriers. By using a time-frequency analysis, we find the existence of a regime characterized by the opacity of the barrier, where the maximum peak of a forerunner measured at the barrier transmission edge x=L corresponds to a genuine tunneling process. The corresponding time scale represents the tunneling time of the forerunner through the classically forbidden region.

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