Abstract
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.
Similar content being viewed by others
Literature cited
N. N. Bogoliubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach (1961).
Ali-Hasan Nayfeh, Perturbation Methods, Wiley (1973).
Yu. G. Pavlenko, Hamiltonian Methods in Electrodynamics and Quantum Mechanics [in Russian], Mosk. Gos. Univ., Moscow (1985).
N. D. Naumov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 10, 85 (1991). [Sov. Fiz. J.,34, 95, 155 (1991)].
T. C. Marshall, Free-Electron Lasers, Macmillan (1985).
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Addison-Wesley, MA (1951).
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 72–75, February, 1993.
Rights and permissions
About this article
Cite this article
Naumov, N.D. Operator method of integration of the equations of motion of a particle in an external field. Russ Phys J 36, 158–161 (1993). https://doi.org/10.1007/BF00574100
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00574100