Abstract
The spectral representation of the linear multigroup transport problem is applied to two examples. In the first example, we obtain the dispersion relations, normalization coefficients, and eigenfunctions for any order N of scattering by using the eigenfunctions for isotropic scattering as the basis. In the second we obtain the dispersion relations, normalization coefficients, and eigenfunctions for N+1 order scattering by using the eigenfunctions for Nth order scattering as the basis. New identities relating quantities referring to different orders of scattering are obtained as well as identities involving spectral integrals and moments of eigenfunctions. Independent calculations are carried out to verify relations obtained using the spectral representation. In 1981, Kanal and Davies obtained similar results for the case of the one-velocity transport theory.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
