Orthogonality of case's eigenfunctions in one-speed transport theory

The eigenfunctions of the one-speed transport equation, as introduced by Case, are shown to have more general orthogonality properties than previously known. In particular, for isotropic scattering, partial range and "two-media" orthogonality relations are derived. An extension to linearly anisotropic scattering is indicated. These results facilitate the application of Case's method to one-speed transport problems in plane geometry.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/32078/1/0000127.pd