Abordagem quântica para espalhamento Thomson não linear

Abstract

This work is motivated by the need to deepen the understanding of nonlinear processes in Thomson scattering, driven by the current lack of a description of the interaction between electrons and laser pulses with moderate intensity (non-relativistic regime) and finite duration. We employ a hybrid theoretical approach that combines quantum mechanics (for the electron) with quantum field theory (for the scattered photon), along with time-dependent perturbation theory. In order to obtain manageable results, a laser pulse with a rectangular profile was considered, and a formalism capable of capturing the emergence of higher harmonics even in the non-relativistic regime was developed. Thus, the results contribute to a more detailed understanding of the nonlinear scattering mechanisms for low electron energy and low laser frequency.