The Hilbert-Schmidt Theorem Formulation of the R-Matrix Theory
Atomic Physics
2009-10-30 v1
Abstract
Using the Hilbert-Schmidt theorem, we reformulate the R-matrix theory in terms of a uniformly and absolutely convergent expansion. Term by term differentiation is possible with this expansion in the neighborhood of the surface. Methods for improving the convergence are discussed when the R-function series is truncated for practical applications.
Cite
@article{arxiv.physics/9709039,
title = {The Hilbert-Schmidt Theorem Formulation of the R-Matrix Theory},
author = {Yeong E. Kim and Alexander L. Zubarev},
journal= {arXiv preprint arXiv:physics/9709039},
year = {2009}
}
Comments
16 pages, Latex