An electron is scattered by an electromagnetic plane wave E 0 exp[i(k r t)]. Show

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An electron is scattered by an electromagnetic plane wave Eexp[i(k · r − ωt)]. Show that radiation reaction induces a small, time-averaged, self-Lorentz force on the electron which may be interpreted as radiation pressure exerted by the wave. Express the force is terms of the Thomson scattering cross section σT.

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