Relativistic Electron Localization and the Lack of Zitterbewegung

P. Krekora, Q. Su, and R. Grobe
Phys. Rev. Lett. 93, 043004 – Published 23 July 2004

Abstract

Using space-time resolved solutions to relativistic quantum field theory we analyze the electron-positron pair creation process from vacuum. For early times the entangled electron-positron wave function can be obtained analytically. We show that there are, in principle, no limitations to the localization length of an electron and demonstrate that its spatial probability density can be much narrower than the Compton wavelength. We also find that quantum field theory prohibits the occurrence of Zitterbewegung for an electron.

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  • Received 12 December 2003

DOI:https://doi.org/10.1103/PhysRevLett.93.043004

©2004 American Physical Society

Authors & Affiliations

P. Krekora, Q. Su, and R. Grobe

  • Intense Laser Physics Theory Unit and Department of Physics, Illinois State University, Normal, Illinois 61790-4560, USA

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Vol. 93, Iss. 4 — 23 July 2004

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