Phys. Rev. Lett. 93, 043004 (2004) [4 pages]Relativistic Electron Localization and the Lack of ZitterbewegungReceived 12 December 2003; published 23 July 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.043004
DOI:
10.1103/PhysRevLett.93.043004
PACS:
32.80.–t, 03.65.Ud, 42.50.–p
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