On Multigroup Transport Theory with a Degenerate Transfer Kernel
- 1 August 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (8) , 1114-1117
- https://doi.org/10.1063/1.1666105
Abstract
The multigroup transport equation is studied in plane geometry assuming that the transfer kernel is representable in a degenerate form. The eigenvalue spectrum is analyzed and the associated eigensolutions are obtained in terms of generalized functions. Full‐range orthogonality relation is demonstrated. The full‐range completeness of the eigensolutions is established under rather general conditions. For the half‐range completeness to hold, it is additionally required that the scattering kernel be self‐adjoint and possesses reflection symmetry.Keywords
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