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We consider the 1-D motion of an electron under a periodic force and takinginto account the effect of radiation reaction dissipation force on its motion,using the formulation of the radiation reaction force as a function of theexternal force. Two cases are considered: a simple sinusoidal time dependingforce, and sinusoidal electromagnetic force with position and time dependence.We found that the difference of the normalized (with respect the speed oflight) velocities, with and without radiation reaction, are quite small between$10^{-31}$ to $10^{-14}$ for intensities on the electric field of $10^{-8}$ to1 $Dynes/ues$, which may represent some concern to measure experimentally.

Dynamics of 1-D Electron Motion under a Periodic Electric Field with Radiation Reaction Effect