The mathematical theory of the R matrix. II. The R matrix and its properties
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In this paper, it is shown that Wigner's R matrix, for a certain class of unbounded potentials which may be nonlocal or have Coulomb-type singularities, exists, is a compact operator, and that the expansions associated with the R -matrix converge. For the same class of potentials, a perturbation theory is constructed and conditions are given for the convergence of the resulting Born-type expansions. Copyright 1974 American Institute of Physics.