A quantum theory of Wheeler-Feynman electrodynamics

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33 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)751-764
Number of pages14
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume68
Issue number3
DOIs
StatePublished - 1970
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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