### 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 language | English (US) |
---|---|

Pages (from-to) | 751-764 |

Number of pages | 14 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 68 |

Issue number | 3 |

DOIs | |

State | Published - 1970 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**A quantum theory of Wheeler-Feynman electrodynamics.** / Davies, Paul.

Research output: Contribution to journal › Article

*Mathematical Proceedings of the Cambridge Philosophical Society*, vol. 68, no. 3, pp. 751-764. https://doi.org/10.1017/S0305004100076751

}

TY - JOUR

T1 - A quantum theory of Wheeler-Feynman electrodynamics

AU - Davies, Paul

PY - 1970

Y1 - 1970

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=84976130768&partnerID=8YFLogxK

U2 - 10.1017/S0305004100076751

DO - 10.1017/S0305004100076751

M3 - Article

AN - SCOPUS:84976130768

VL - 68

SP - 751

EP - 764

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 3

ER -