Abstract
This is the second part of an article devoted to the study of quantized fields interacting with a smooth classical external field with fast space time decrease. The case of a charged scalar field is considered first. The existence of the corresponding Green's functions is proved. For weak fields, as well as pure electric or scalar external fields, the BogoliubovS-operator defined in Part I of this work is shown to be unitary, covariant, causal up-to-a-phase. Its perturbation expansion is shown to converge on a dense set in Fock space. These results are generalised to a class of higher spin quantized fields, “nicely” coupled to external fields, which includes the Dirac theory, and, in the case of minimal and magnetic dipole coupling, the spin one Petiau-Duffin-Kemmer theory. It is not known whether this class contains examples of physical interest involving quantized fields carrying spins larger than one.
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Bellissard, J. Quantized fields in external field. Commun.Math. Phys. 46, 53–74 (1976). https://doi.org/10.1007/BF01610500
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DOI: https://doi.org/10.1007/BF01610500