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Radiative friction in the Lorentz-Dirac equation and its decomposition in the interaction constant. (English) Zbl 0948.78004

Summary: The nonlinear Lorentz-Dirac equation of motion for charged particle, if one takes into account radiative friction can be written in dimensionless variables. Then, there is a possibility of introducing the constant of fine structure and following approximate solving it. This result may be used for more precise calculation of energy losses.

MSC:

78A25 Electromagnetic theory (general)
81V10 Electromagnetic interaction; quantum electrodynamics

References:

[1] Dirac, P., Classical theory of radiating electrons, Proc. Roy. Soc. of London, 167, 148-168, 1938 · JFM 64.1481.03
[2] Ivanenko D., Sokolov A., Classical Theory of Field, Moscow, 1951 (in Russian).
[3] Plass, G., Classical electrodynamics equations of motion with radiative reaction, Rev. of Modern. Phys., 33, 1, 37-62, 1961
[4] Schwinger, J., On the classical theory of accelerating electrons, Phys. Rev., 75, 12, 1912-1935, 1949 · Zbl 0040.12504
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