Electron Scattering Processes in Non-Monochromatic and Relativistically Intense Laser Fields
atoms Review Electron Scattering Processes in Non-Monochromatic and Relativistically Intense Laser Fields Felipe Cajiao Vélez * , Jerzy Z. Kami ´nskiand Katarzyna Krajewska Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland; Jerzy.Kaminski@fuw.edu.pl (J.Z.K.); Katarzyna.Krajewska@fuw.edu.pl (K.K.) * Correspondence: Felipe.Cajiao-Velez@fuw.edu.pl; Tel.: +48-22-5532920 Received: 31 January 2019; Accepted: 1 March 2019; Published: 6 March 2019 Abstract: The theoretical analysis of four fundamental laser-assisted non-linear scattering processes are summarized in this review. Our attention is focused on Thomson, Compton, Møller and Mott scattering in the presence of intense electromagnetic radiation. Depending on the phenomena under considerations, we model the laser field as a single laser pulse of ultrashort duration (for Thomson and Compton scattering) or non-monochromatic trains of pulses (for Møller and Mott scattering). Keywords: laser-assisted quantum processes; non-linear scattering; ultrashort laser pulses 1. Introduction Scattering theory is the part of theoretical physics in which interactions of particles and waves are investigated at remote times and large distances, as compared with typical time and size scales of probed systems. For this reason, scattering theory is the most effective and, in many cases, the only method of analyzing such diverse systems as the micro-world or the whole universe. Not surprisingly, the investigation of scattering phenomena has been playing a central role in physics since the end of the nineteenth century, starting from the Rayleigh’s explanation of why the sky is blue, up to modern medical applications of computerized tomography, the very recent discovery of the Higgs particle and the detection of gravitational waves.
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