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The charge distribution, the electromagnetic field and the self-energy of an electron are investigated. It is found that, as a result of Dirac's positron theory, the charge and the magnetic dipole of the electron are extended over a finite region; the contributions of the spin and of the fluctuations of the radiation field to the self-energy are analyzed, and the reasons that the self-energy is only logarithmically infinite in positron theory are given. It is proved that the latter result holds to every approximation in an expansion of the self-energy in powers of e^{2}hc. The self-energy of charged particles obeying Bose statistics is found to be quadratically divergent. Some evidence is given that the "critical length" of positron theory is as small as h (mc) (-hc{e^2}).
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V. F. Weisskopf (Sat,) studied this question.
www.synapsesocial.com/papers/6a10a7e8b6f5ee040160e971 — DOI: https://doi.org/10.1103/physrev.56.72
V. F. Weisskopf
Physical Review
University of Rochester
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