Abstract
Cortrary to some statements which have been made, the spherical harmonics method and the Gauss quadrature method dealing with the monoenergetic transport equation-are not identical. Basically the Gauss quadrature method, as applied to the Milne problem, is a nonanalytic approximation, whereas all functions used in the spherical harmonics method are continuous. The relation between these two methods are examined in detail. The Milne problem with p-wave scattering is used as a convenient example for the analysis. General spherical harmonics solutions to the Milne problem are derived and compared with the Gauss quadrature solutions. (W.D.M.)
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