A differential equation is obtained relating the energy and coordinate of a charged particle in an interaction with the field of a plane electromagnetic wave of nonunity phase velocity. A method of solving the derived equation allowing the electron energy and coordinate to be analytically elucidated in terms of an introduced parameter using the Wieerstrass function is presented. On the basis of the solution of the nonlinear differential equation constructed and the constraints imposed on the parameters of the given system, an expression relating the particle energy and coordinate is obtained. The results of tabulating the expression obtained is compared with the results of numerical integration of the relativistic equations of motion.
Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Science News of the Faculty of Physics, Lomonosov Moscow State University
This new information publication, which is intended to convey to the staff, students and graduate students, faculty colleagues and partners of the main achievements of scientists and scientific information on the events in the life of university physicists.