Operator method of integration of the equations of motion of a particle in an external field

A method is proposed for the determination of the laws of motion of a particle in an external field. Solutions are found for the equations of motion of a charged particle in the field of an undulator, and of the Dirac-Lorentz equation in a magnetic field. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 72–75, February, 1993.