Solution of the Initial-Value Transport Problem for Monoenergetic Neutrons in Slab Geometry
- 1 November 1964
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 5 (11) , 1527-1540
- https://doi.org/10.1063/1.1931185
Abstract
The initial-value transport problem of monoenergetic neutrons migrating in a thin slab is solved by applying the normal-mode expansion method of Case to the results of Lehner and Wing. Fredholm integral equations are derived for the expansion coefficients. In addition, exact expressions for the eigenvalues of the problem are derived and the results of calculations are presented. The solution is shown to have properties expected from elementary diffusion theory.Keywords
This publication has 4 references indexed in Scilit:
- The Decay of a Thermalized Neutron PulseNuclear Science and Engineering, 1960
- Elementary solutions of the transport equation and their applicationsAnnals of Physics, 1960
- Solution of the linearized Boltzmann transport equation for the slab geometryDuke Mathematical Journal, 1956
- On the spectrum of an unsymmetric operator arising in the transport theory of neutronsCommunications on Pure and Applied Mathematics, 1955