Reference equations in the problems of radiation kinetics of gas media

The method of geometrical quantization for the specific conditions of the p roblems of radiation kinetics of gas media is developed. Integral reference equations are presented for the description of the spatial behavior of spe ctral modes of the equation of radiation trapping near the boundary of a ga s cell, where the conditions of the quasi-classical approximation are viola ted. The explicit solutions of the reference equations are used to calculat e the phases of scattering for an associated quasi-particle at the boundary of the cell, which are directly caused by the kinetics of the radiation tr ansfer processes. The general criterion of applicability of the quasi-class ical quantization rules is formulated. These rules are used to calculate th e trapping factors for cylinders of finite length.