- 07-18 J. Behrndt, H. Neidhardt, E.R. Racec, P.N. Racec, U. Wulf
- On Eisenbud's and Wigner's R-matrix: A general approach
(449K, pdf)
Jan 19, 07
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Abstract. The main objective of this paper is to give a rigorous treatment of Wigner's and Eisenbud's R-matrix method for scattering matrices of
scattering systems consisting of two selfadjoint extensions
of the same symmetric operator with finite deficiency indices. In the
framework of boundary triplets and associated Weyl functions an abstract generalization of the
$R$-matrix method is developed and the results are applied
to Schr\"odinger operators on the real axis.
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