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A new theory of atomic motion in a resonant standing or traveling electromagnetic wave is presented. It is shown that, when effects of spontaneous emission are negligible, the motion of a two-level atom in the resonant radiation is determined by two noninterfering wave functions, each of which satisfied a time-dependent Schr\"odinger equation with time-independent potential energy. An experiment is proposed to test the theory.
Richard J. Cook (Mon,) studied this question.