A Convergent Perturbation Expansion in First-Quantized Electrodynamics
- 1 May 1962
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 3 (3) , 387-395
- https://doi.org/10.1063/1.1724238
Abstract
It is shown that a real physical problem exists which, when calculated in first‐quantized electrodynamics, possesses a convergent perturbation expansion. The result is demonstrated by proving the analyticity in a region of nonzero radius about the origin in the complex coupling‐constant plane, of the transition probability for pair creation by two electromagnetic fields. Some singularities in the complex plane are located, which limit the radius of convergence only for a discrete set of values for the energies of the electromagnetic fields which define the problem.Keywords
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