Using space-time resolved solutions in relativistic quantum field theory we analyze the electron-positron pair creation rocess from vacuum and resolve the Klein-paradox. 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 argue that quantum field theory prohibits the occurrence of Zitterbewegung for an electron in contrast to claims found in textbooks.
© 2004 Optical Society of America
P. Krekora, Q. Su, and R. Grobe, "Space-time resolved quantum field theory," in Frontiers in Optics 2004/Laser Science XXII/Diffractive Optics and Micro-Optics/Optical Fabrication and Testing, OSA Technical Digest Series (Optical Society of America, 2004), paper FTuH3.
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