Semi-analytical representation of the Gaunt-modified Landau-Lifshitz equation in a plane wave
Year: 2026
Type: preprint
Abstract: We analyze electron dynamics in a plane electromagnetic wave using the Landau-Lifshitz equation with a quantum radiation reaction correction modelled by a Gaunt factor. In this geometry, the quantum parameter $χ$ depends solely on the lightfront momentum, allowing the modified equation of motion to retain the integrable structure of the classical problem. We derive a semi-analytical solution for the energy evolution and the four-velocity, which reduces to the known classical result in the appropriate limit. The results provide an analytical and deterministic description of semiclassical radiation reaction in plane-wave fields.
Source: arXiv (Cornell University)
Authors: Shekhanov, S. A., Ridgers, C. P.
Institution: University of York
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7163700300