Closure Relations for the Eigenfunctions of the One-Speed Transport Equation
- 1 April 1967
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (4) , 823-826
- https://doi.org/10.1063/1.1705284
Abstract
Orthogonality relations for the eigenfunctions of the one‐speed transport equation are used to derive the corresponding closure relations. These express in a concise form the completeness properties previously proved by Case.Keywords
This publication has 7 references indexed in Scilit:
- Bi-Orthogonality Relations for Solving Half-Space Transport ProblemsJournal of Mathematical Physics, 1966
- On the Use of the Poincaré-Bertrand Formula in Neutron Transport TheoryNuclear Science and Engineering, 1965
- The Thermalization Theory with a Simple Scattering KernelNuclear Science and Engineering, 1965
- Orthogonality of case's eigenfunctions in one-speed transport theoryAnnals of Physics, 1964
- Energy-Dependent Boltzmann Equation in Plane GeometryJournal of Mathematical Physics, 1963
- Neutron Transport with Anisotropic ScatteringNuclear Science and Engineering, 1961
- Elementary solutions of the transport equation and their applicationsAnnals of Physics, 1960