J.R. Croca
It is shown that the tunneling effect can, mathematically, be described by the tunneling operator. Since the tunneling operator is invertible, it is possible to specify the form of the wave inside the barrier and from it arrive at the incident wave in the nontunneling region. An easy example of this is presented. On the other hand, this operator allows us to build a no-moving localized structure inside a tunneling barrier at any distance, as far as one wishes, independent of time. This seems to imply an instantaneous transit time inside the barrier or, in other words, an infinite velocity. The overall process is here applied to a photonic localized structure in the so-called classical frustrated total reflection where all space besides the crystal can be taken as the tunneling barrier. The process, based on wavelet analysis, avoids the problems raised by Fourier nonlocal and nontemporal paradigms. It overcomes the difficulty, for not saying impossible, problem of the definition of the “true” velocity of a wave, other than that of the harmonic plane wave.
@article{ad4ac7b5-28d7-4e73-b25b-3585183f1dcb,
title={The Tunneling Effect and Some Implicatio},
author={J.R. Croca},
year={2026},
language={en}
}TY - JOUR TI - The Tunneling Effect and Some Implicatio AU - J.R. Croca PY - 2026 LA - en ER -
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