Key points are not available for this paper at this time.
In the classical theory there is no difficulty in treating the effect of radiation damping on the scattering of light by a free electron in so far as it is a result of the conservation of energy. In the non-relativistic approximation the equation of motion of a free electron under the influence of a light wave is with the periodic solution The total energy radiated per second is then and the total cross-section(1) is Formula (1) differs from the Thomson formula by the factor 1/(1 +κ 2 ). This factor becomes appreciable for energies ħν ≥ 137 mc 2 .
W. Heitler (Tue,) studied this question.