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 $G_{\mathrm{p}}(t)$ 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 Schrödinger equation for cutoff initial waves.

References in corpus (1)

• Classical Equations for Quantum Systems

Cited by in corpus (9)

• Generic Short-Time Propagation of Sharp-Boundaries Wave Packets
• Matter wave pulses characteristics
• Pitfalls of Path Integrals: Amplitudes for Spacetime Regions and the Quantum Zeno Effect
• Transient effects and reconstruction of the energy spectra in the time evolution of transmitted Gaussian wave packets
• Quantum shutter approach to tunneling time scales with wave packets
• Transient time-domain resonances and the time scale for tunneling
• Transient quantum beats, Rabi-oscillations and delay-time of modulated matter-waves
• Tunnelling of plane waves through a square barrier
• Amplitudes for Spacetime Regions and the Quantum Zeno Effect: Pitfalls of Standard Path Integral Constructions