Relativistic Electron Localization and the Lack of Zitterbewegung
Abstract
Using spacetime resolved solutions to relativistic quantum field theory we analyze the electronpositron pair creation process from vacuum. For early times the entangled electronpositron 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.
 Publication:

Physical Review Letters
 Pub Date:
 July 2004
 DOI:
 10.1103/PhysRevLett.93.043004
 Bibcode:
 2004PhRvL..93d3004K
 Keywords:

 32.80.t;
 03.65.Ud;
 42.50.p;
 Photon interactions with atoms;
 Entanglement and quantum nonlocality;
 Quantum optics