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

Physics – Atomic Physics

Scientific paper

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16 pages, Latex

Scientific paper

10.1088/0305-4470/31/30/013

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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