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Abstract
A quantum mechanical treatment of stimulated Raman effect in a gaseous system is presented. The atomic system is described by a two-level system. The radiation fields also obey the laws of quantum mechanics. The effects of atomic motion and the detuning in one-photon absorption and two-photon emission are incorporated in the analysis. The equation of motion describing the photon-statistics of all the fields are obtained. As a special case, the time evolution of the average photon number, second order coherence and output variance of the Stokes field is studied. The results show a non-linear dependence on the parameters representing atomic motion, detuning and atomic relaxation constants.