The Fourier transform solution for the Green's function of monoenergetic neutron transport theory
Mathematical Physics
2014-03-18 v1 math.MP
Abstract
Nearly 45 years ago, Ken Case published his seminal paper on the singular eigenfunction solution for the Green's function of the monoenergetic neutron transport equation with isotropic scattering. Previously, the solution had been obtained by Fourier transform. While it is apparent the two had to be equivalent, a convincing equivalence proof for general anisotropic scattering remained a challenge until now.
Keywords
Cite
@article{arxiv.1403.4012,
title = {The Fourier transform solution for the Green's function of monoenergetic neutron transport theory},
author = {Barry D. ganapol},
journal= {arXiv preprint arXiv:1403.4012},
year = {2014}
}
Comments
34 pages,2 figs, to be submitted to either Nucl. sci & Eng or J. Math Phys