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Relativistic analysis of a wave packet i

Vittoria Petrillo, Davide Janner

2026enquantum tunnelingrelativistic quantumwave packetsDirac equationpotential barriersuperluminal motion

Abstract

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The dynamics of a wave packet incoming on a quantum-mechanical barrier is analyzed in the framework of a fully relativistic model, with particular emphasis on the case of a large spectrum. Some of the characteristic times of tunneling are calculated and compared; they are all of the same order of magnitude and all indicate an apparent superluminal motion, even if causality is maintained. A time-asymptotic expression for the transmitted wave function is derived and its strong validity is shown.

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Cite This Work

@article{91384237-2ba8-406e-a6dc-a2b3cf0fe80e,
  title={Relativistic analysis of a wave packet i},
  author={Vittoria Petrillo and Davide Janner},
  year={2026},
  language={en}
}
TY  - JOUR
TI  - Relativistic analysis of a wave packet i
AU  - Vittoria Petrillo
AU  - Davide Janner
PY  - 2026
LA  - en
ER  -

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