The Hilbert-Schmidt Theorem Formulation of the R-Matrix Theory
Yeong E. Kim, Alexander L. Zubarev
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.
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