Abstract
An approximate expression is derived for the amplitude for the spontaneous emission of a photon by a charged spin-1/2 fermion as it is being deflected in an external field. The fermion is coupled to a spin-zero boson field through an interaction which is local and renormalisable. The external field is in the form of an intense pulse of radiation having a well defined direction of propagation. The essential restriction on the field is that it be slowly varying; its spectral composition is otherwise arbitrary. The transition amplitude obtained here depends only on the charge, mass and anomalous magnetic moment of the fermion. This result may be thought of as providing an external-field version of the low-energy theorem for ordinary Compton scattering which has been known for some years.
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