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Published online by Cambridge University Press: 24 October 2008
It is shown that, if account is taken of the uncertainty of position and momentum of the reference origin with respect to which observations are made, the self-energy and transverse self-energy of the electron become finite and the quantum theory is considerably modified for high-energy electrons and quanta.
* Pryce, , Proc. Roy. Soc. A, 168 (1938), 389–401.CrossRefGoogle Scholar
* Cf. Heitler, , Quantum theory of radiation (Oxford, 1936), p. 76, equation (19).Google Scholar
* Moreover, a point electron with a definite position relative to G is replaced by a Gaussian distribution with probable error α−½ relative to P. This charge distribution is equivalent to a spherical one of radius α−½, and it seems natural to take this as the classical electron radius.
* Heitler, ibid. p. 31, equation (15).
* Heitler, ibid. p. 51, equation (48).
* Heitler, ibid. p. 183, equation (23).