2003
DOI: 10.1103/physreva.67.052106
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Equivalence between the real-time Feynman histories and the quantum-shutter approaches for the “passage time” in tunneling

Abstract: We show the equivalence of the functions Gp(t) and |Ψ(d, t)| 2 for the "passage time" in tunneling. The former, obtained within the framework of the real time Feynman histories approach to the tunneling time problem, using the Gell-Mann and Hartle's decoherence functional, and the latter involving an exact analytical solution to the time-dependent Schrödinger equation for cutoff initial waves.

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Cited by 28 publications
(35 citation statements)
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“…Recently, the shutter problem was recruited by many researchers in studies of fundamental issues in Quantum Mechanics, like the passage-time in tunneling [8], particle absorption and imaginary potential [9] and quantum measurements and collapse [10].…”
mentioning
confidence: 99%
“…Recently, the shutter problem was recruited by many researchers in studies of fundamental issues in Quantum Mechanics, like the passage-time in tunneling [8], particle absorption and imaginary potential [9] and quantum measurements and collapse [10].…”
mentioning
confidence: 99%
“…Our calculation extends the results of the shutter problem, where the initial plane wave occupied the space axis at one side of the barrier and was specially suited to study the propagation of the wave front and the tunnelling time [3,4].…”
Section: Introductionmentioning
confidence: 59%
“…The M functions are defined in terms of the complex error function [11,12] w͑z͒ = exp͑−z 2 ͒erfc͑−iz͒, as M͑y q ͒ = exp͓imx 2 /2បt͔w͑iy q ͒ /2, where y q = e −i/4 ͑m /2បt͒ 1/2 ͓x − បqt / m͔, and q = ±k, k ±n . An alternative representation for ⌿ e ͑x , t͒ has been recently obtained by using a plane-wave expansion of the timedependent wave function [13]. It reads ⌿ e ͑x,t͒ = ik…”
Section: Under-the-barrier Poles and Time-domain Resonancesmentioning
confidence: 99%