The Schrödinger Equation in Quantum Electrodynamics

F. J. Dyson
Phys. Rev. 83, 1207 – Published 15 September 1951
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Abstract

Concluding a program begun in earlier papers, this paper is occupied with the analysis of the hamiltonian occurring in the Schrödinger equation of quantum electrodynamics in a new representation called the intermediate representation. It is proved that the hamiltonian is free of divergences, either explicit or implicit. The intermediate representation therefore provides a complete divergence-free formulation of quantum electrodynamics, applicable to all physical situations. The divergences which are eliminated are the well-known ultraviolet divergences. The hamiltonian is still expressed as a power series in the fine-structure constant; the convergence of the series is not proved.

  • Received 27 April 1951

DOI:https://doi.org/10.1103/PhysRev.83.1207

©1951 American Physical Society

Authors & Affiliations

F. J. Dyson

  • Department of Mathematical Physics, University of Birmingham, Birmingham, England

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Vol. 83, Iss. 6 — September 1951

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