Abstract
AbstractIn this paper we present exact solutions of the Klein‐Gordon and the Dirac equations in different configurations of an electromagnetic field, which are characteristic for free‐electron laser‐type gauges. In the case of motion of a charge scalar particle in standing wave an energy spectrum is studied. For the motion of an electron in a so‐called wiggler magnetic field a spinor wave function is proved to be obtainable. An undulator field configuration with propagating wave is treated also.
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