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Superluminal effects for quantum tunneli

Vladislav S. Olkhovsky, Erasmo Recami

2026enquantum tunnelingsuperluminal propagationpotential barriersevanescent wavesHartman effectSchrödinger equation

Abstract

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We study the phenomenon of one-dimensional non-resonant tunneling through two successive (opaque) potential barriers, separated by an intermediate free region R, by analyzing the relevant solutions to the Schrödinger equation. We find that the total traversal time does not depend not only on the barrier widths (the so-called “Hartman effect”), but also on the R width: so that the effective velocity in the region R, between the two barriers, can be regarded as practically infinite. This agrees with the results known from the corresponding waveguide experiments, which simulated the tunneling experiment herein considered due to the known formal identity between the Schrödinger and the Helmholtz equation.

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Cite This Work

@article{8d5ab2ed-cae5-48d3-918e-d2d6d084627a,
  title={Superluminal effects for quantum tunneli},
  author={Vladislav S. Olkhovsky and Erasmo Recami},
  year={2026},
  language={en}
}
TY  - JOUR
TI  - Superluminal effects for quantum tunneli
AU  - Vladislav S. Olkhovsky
AU  - Erasmo Recami
PY  - 2026
LA  - en
ER  -

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