Speaker
Description
The Klein – Gordon equation of motion in the transition layer of a free-electron laser of the relativistic strophotron type is studied. The condition of suddenly switching-on interaction is found: a smallness of the transition layer at the entrance compared to the distance traveled by the electron in longitudinal direction in one period of transverse oscillations in strophotron. The results correspond to the results of classical description. It is shown that in an electric strophotron, under the assumption of a suddenly switching-on interaction, the transverse energy of an electron at the moment undergoes a jump. However, the total energy is conserved, since at the same moment the longitudinal energy of the electron has the same jump with opposite sign.
Funding Agency
EU NextGenerationEU through the Recovery and Resilience Plan for Slovakia under the project No. 09I03-03-V01-00052 and the SlovakAcademy of Sciences, in the framework of project VEGA 2/0061/24
