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