Abstract
The second-quantized Dirac and Klein-Gordon equations with external fields are solved. It is shown that the interpolating field is local and satisfies the Yang-Feldman equations. The Capri-Wightman approach and the Friedrichs-Segal approach are shown to lead to the same unitaryS-operator. The evolution operator andS-operator are studied. A divergence-free perturbation expansion of theS-operator is derived and the connection with the Feynman-Dyson series is established.
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Communicated by A. S. Wightman
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Ruijsenaars, S.N.M. Charged particles in external fields. Commun.Math. Phys. 52, 267–294 (1977). https://doi.org/10.1007/BF01609487
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DOI: https://doi.org/10.1007/BF01609487