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The uncertainty of the reference frame in quantum mechanics
Published online by Cambridge University Press: 24 October 2008
Extract
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 35 , Issue 2 , April 1939 , pp. 195 - 204
- Copyright
- Copyright © Cambridge Philosophical Society 1939
References
* 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).