Erasmo Recami
The phenomenon of one-dimensional non-resonant tunneling is analyzed through two or more successive opaque potential barriers separated by intermediate free regions, utilizing the relevant solutions to the Schrödinger equation. This study demonstrates that the total traversal time is independent of both the barrier widths and the widths of the intermediate regions, leading to the conclusion that the effective group velocity in the regions between barriers may be considered practically infinite. This prediction aligns with theoretical confirmations and generalizations provided by Aharonov et al., and is experimentally supported by Longhi et al., who investigated two successive gratings within an optical fiber. The research highlights the mathematical equivalence between the Schrödinger equation in the presence of a potential barrier and the Helmholtz equation for electromagnetic waves propagating through waveguides, further elucidating the implications of the Hartman effect in tunneling processes. These theoretical foundations pave the way for understanding the implications of superluminal velocities associated with quantum tunneling phenomena.
@article{8f1e415b-2890-4b48-b62b-a01920972d90,
title={Effetti Hartman e Hartman Generalizzato},
author={Erasmo Recami},
year={2026},
language={en}
}TY - JOUR TI - Effetti Hartman e Hartman Generalizzato AU - Erasmo Recami PY - 2026 LA - en ER -
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