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A quantum theory of Wheeler–Feynman electrodynamics

Published online by Cambridge University Press:  24 October 2008

P. C. W. Davies
P. C. W. Davies
Affiliation:
University College, London
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Abstract

A quantum mechanical theory of the action-at-a-distance electrodynamics of Wheeler and Feynman is given using an S-matrix approach. The response of the universe is introduced, and a perturbation expansion leads to the usual expression for the spontaneous transition rate between atomic energy levels, an effect normally attributed to quantized field oscillators. The Feynman propagator is then recovered, leading to the familiar self-energy formulae. Finally, a comparison of the formal structure of the new theory with the conventional is shown to establish a complete mathematical equivalence to all orders in the expansion.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 3 , November 1970 , pp. 751 - 764
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Akhiezer, A. I. and Berestetskii, V. B.Quantum electrodynamics (New York; New York, 1965).Google Scholar
(2)Anderson, J. L.Principles of relativity physics (Academic Press; New York, London, 1967).CrossRefGoogle Scholar
(3)Bogoliubov, N. N. and Shirkov, D. V.Introduction to the theory of quantised fields (Interscience; New York, 1959), 206–227.Google Scholar
(4)Ditchbun, R. W.Light (Blackie; London, 1963), 2nd ed.Google Scholar
(5)Fokker, A. D. Z.Physik 58 (1929), 386.CrossRefGoogle Scholar
(6)Feynman, R. P.Phys. Rev. 76 (1949), 769.CrossRefGoogle Scholar
(7)Hill, R. N. and Kerner, E. H.Phys. Rev. Letters 17, (1966), 1156.CrossRefGoogle Scholar
(8)Hogarth, J. E.Proc. Roy. Soc. Ser. A 267 (1962), 365.Google Scholar
(9)Hoyle, F. and Narlikar, J. V.Proc. Roy. Soc. Ser. A 277 (1963), 1.Google Scholar
(10)Hoyle, F. and Narlikar, J. V.Ann. Physics 54 (1969), 207.CrossRefGoogle Scholar
(11)Rohrlich, F.Classical charged particles (Addison Wesley; Reading, Mass., 1965).Google Scholar
(12)Thirring, W. E.Principles of quantum electrodynamics (Academic Press; New York, London, 1958), 144, 227.Google Scholar
(13)Wheeler, J. A. and Feynman, R. P.Rev. Modern Phys. 17 (1945), 157.CrossRefGoogle Scholar
(14)Wheeler, J. A. and Feynman, R. P.Rev. Modern Phys. 21 (1949), 425.CrossRefGoogle Scholar