Evanescent Waves and Superluminal Behavior of Matter

Luca Nanni

doi:10.20944/preprints201904.0048.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 3 April 2019 / Approved: 4 April 2019 / Online: 4 April 2019 (11:36:01 CEST)

An evanescent wave is a non-propagating wave with an imaginary wave vector. In this study, we prove that these are solutions of the tachyon-like Klein–Gordon equation, and that in the tunneling of ultrarelativistic spin-1/2 particles they describe superluminal states arising from interactions between a particle and barrier. These states decay as a particle emerges from the opposite side of a potential barrier, conserving the same initial energy but not necessarily the same mass. The obtained theory is applied to the neutrino, to explain flavor oscillations during free flight and determine the conditions that maximize the probability of their occurrence.

Evanescent waves; quantum tunneling; relativistic wave packet; neutrino; mass oscillation

Physical Sciences, Quantum Science and Technology

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Evanescent Waves and Superluminal Behavior of Matter

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