Scattering theory, orthogonal polynomials, and the transport equation
- 1 July 1974
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (7) , 974-983
- https://doi.org/10.1063/1.1666781
Abstract
It is shown that under rather weak restrictions the discrete eigenvalues occurring in one-velocity transport theory are real or purely imaginary, simple, ≥ 1 in magnitude, finite in number, and occur in ± pairs. Proofs are obtained using methods of scattering theory applied to orthogonal polynomials.Keywords
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- Orthogonality of a Set of Polynomials Encountered in Neutron-Transport and Radiative-Transfer TheoriesJournal of Mathematical Physics, 1970