Two important problems are discussed that arise in the study of elementary particles interaction in external electromagnetic fields. It was in the 1960s that the first results were obtained by I.M. Ternov and his colleagues in their studies of the neutron beta decay and charged lepton anomalous magnetic moments in external fields, and even now, the two problems still attract much attention. A brief review of the subject is presented. New findings obtained recently provide evidence that the above problems are quite up to date.
Department of Theoretical Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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