Willis, Barton L.2014-08-132014-08-131985http://hdl.handle.net/10919/49963It is shown that multigroup transport equations with nondiagonal cross section matrices arise when the modal approximation is applied to energy dependent transport equations. This work is a study of such equations for the case that the cross section matrix is nondiagonalizable. For the special case of a two-group problem with a noninvertible scattering matrix, the problem is solved completely via the Wiener-Hopf method. For more general problems, generalized Chandrasekhar H equations are derived. A numerical method for their solution is proposed. Also, the exit distribution is written in terms of the H functions.iv, 74 leavesapplication/pdfIn CopyrightLD5655.V856 1985.W548Neutron transport theoryWiener-Hopf equationsWiener-Hopf operatorsFunctional analysisDissertation