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The Hilbert-Schmidt Theorem Formulation of the R-Matrix Theory

Yeong E. Kim·Alexander L. Zubarev
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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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Yeong E. Kim, Alexander L. Zubarev. 1997-09-26. The Hilbert-Schmidt Theorem Formulation of the R-Matrix Theory. https://doi.org/10.1088/0305-4470/31/30/013

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