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Equivalence between the real time Feynman histories and the quantum shutter approaches for the "passage time" in tunneling

Gaston Garcia-Calderon·Jorge Villavicencio·Norifumi Yamada
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Abstract

We show the equivalence of the functions $G_{\rm p}(t)$ 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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Gaston Garcia-Calderon, Jorge Villavicencio, Norifumi Yamada. 2003-02-12. Equivalence between the real time Feynman histories and the quantum shutter approaches for the "passage time" in tunneling. https://doi.org/10.1103/physreva.67.052106

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