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

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

2003-02-12

arxiv.org/abs/quant-ph/0302096v1

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.67.052106

We show the equivalence of the functions $G_{\rm p}(t)$ and $|\Psi(d,t)|^2$ 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 Schr\"{o}dinger equation for cutoff initial waves.

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