Abstract
The radiative scattering of a nonrelativistic electron is treated by an approximate method which neglects the reaction of the radiation field on the motion of the electron. In this approximation the different modes of oscillation of the radiation field are independent of one another, and can therefore be treated individually. For frequencies of the radiation small compared to the inverse impact time of the electron, it is shown that the probability of emitting any finite number of quanta is zero, and that the mean radiated energy depends only on the total change in velocity of the electron, the amount of energy radiated being given by the same formula as in classical theory.

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