A balance equation is derived for determination of the average occupation number of a certain state in the forbidden band when a disordered semiconductor is illuminated by monochromatic light. The method of none quilibrium temporal Green's functions is used for the calculation. Expressions are found for the nonequilibrium single-particle functions. Perturbation theory is used to take the effects of the light into account. The conditions to be imposed on the parameters of the problem for validity of the balance equation are stated. Among other things, it is shown that the mass - operator component that fluctuates with the period of the light can be neglected if the electron - phonon interaction constant is sufficiently small.
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