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 G(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, uses the Gell-Mann and Hartle's decoherence functional, and the latter involves an exact analytical solution to the time-dependent Schrodinger equation for cutoff initial waves.