Pré-Publication, Document De Travail Année : 2025

Relativistic Quantum Field Theory Approach to Electron Wavepacket Tunneling: a Fully Causal Process

M Alkhateeb
  • Fonction : Auteur
X Gutierrez de la Cal
  • Fonction : Auteur
M Pons
  • Fonction : Auteur
D Sokolovski
  • Fonction : Auteur

Résumé

Recent results on electron tunneling across a potential barrier, inferred from observations or obtained from theoretical models, have suggested superluminal or instantaneous barrier traversal times. In this work we investigate relativistic wavepacket dynamics for an electron tunneling through a potential barrier employing space-time resolved solutions to relativistic quantum field theory (QFT) equations. We prove by linking the QFT property of microcausality to the wavepacket behavior that the tunneling dynamics is fully causal, precluding instantaneous or superluminal effects. We illustrate these results by performing numerical computations for an electron tunneling through a potential barrier for standard tunneling as well for Klein tunneling. In all cases (Klein tunneling \ or regular tunneling across a standard or a supercritical potential) the transmitted wavepacket remains in the causal envelope of the propagator, even when its average position lies ahead of the average position of the corresponding freely propagated wavepacket.
Fichier principal
Vignette du fichier
hal-version.pdf (574 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04895869 , version 1 (19-01-2025)

Identifiants

  • HAL Id : hal-04895869 , version 1

Citer

M Alkhateeb, X Gutierrez de la Cal, M Pons, D Sokolovski, A Matzkin. Relativistic Quantum Field Theory Approach to Electron Wavepacket Tunneling: a Fully Causal Process. 2025. ⟨hal-04895869⟩
0 Consultations
0 Téléchargements

Partager

More