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The work of Balling, Hanson, and Pipkin on the density-matrix equations for spin-exchange collisions is extended and is simplified in the case of ²S1/2 atoms. The results allow straight-forward calculation of the detailed effects of spin exchange on the density-matrix elements. The equations are useful when dealing with an ensemble of atoms such as in the hydrogen maser, in the rubidium maser, and in optical pumping cells.
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Peter A. Valberg (1971) studied this question.
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