Letters in Mathematical Physics

, Volume 83, Issue 3, pp 305–313

Exact Solution of the Landau-Lifshitz Equation in a Plane Wave


DOI: 10.1007/s11005-008-0228-9

Cite this article as:
Piazza, A.D. Lett Math Phys (2008) 83: 305. doi:10.1007/s11005-008-0228-9


The Landau–Lifshitz (The Classical Theory of Fields. Elsevier, Oxford 1975) form of the Lorentz–Abraham–Dirac equation in the presence of a plane wave of arbitrary shape and polarization is solved exactly and in closed form. The explicit solution is presented in the particular, paradigmatic cases of a constant crossed field and of a monochromatic wave with circular and with linear polarization.

Mathematics Subject Classification (2000)

78A35 (Motion of charged particles)70H40 (Relativistic dynamics)


Classical dynamics of charged particles including the radiation reactionexact solution of the equations of motion of a relativistic electric charge

Copyright information

© Springer 2008

Authors and Affiliations

  1. 1.Max-Planck-Institut für KernphysikHeidelbergGermany