2026-07-29T09:33:06Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1370052026-05-29T00:19:11Zcom_20.500.14352_14col_20.500.14352_15

Fernández Álvarez-Estrada, Ramón Pastor, I. Roso, L. Castejon, F. 2026-05-28T18:57:03Z 2026-05-28T18:57:03Z 2023-12-13 R F Álvarez-Estrada et al 2023 J. Phys. Commun. 7 125001 2399-6528 10.1088/2399-6528/ad1049 https://hdl.handle.net/20.500.14352/137005 https//doi.org/10.1088/2399-6528/ad1049 https://iopscience.iop.org/article/10.1088/2399-6528/ad1049 Motivated by the renewed interest due to the presently available extreme light sources, the dynamics of a single classical relativistic (spinless) extended electron interacting with a classical electromagnetic field (an incoming radiation and the field radiated by the electron) is revisited. The field is treated in Lorentz gauge, with the Lorentz condition. By assumption, there is a crucial finite cut-off kmax on the magnitude of any wavevector contributing to the field (preventing a point electron) and, for a simple formulation, the initial conditions for particle and fields are given in the infinitely remote past. In an infinite three-dimensional vacuum and in an inertial system, Hamilton’s dynamical equations for the particle and the complex field amplitudes acting as canonical variables (a's) yield an exact Lorentz force equation for the former, that includes the incoming radiation and an exact radiation reaction force FRR due to the field radiated by the electron. Uniform motion is obtained as a test of consistency. Based upon numerical computations, some approximations on FRR are given. A covariant formulation is also presented. eng http://creativecommons.org/licenses/by/4.0/ open access Attribution 4.0 International Classical relativistic electron-field dynamics: Hamiltonian approach to radiation reaction journal article