On Eisenbud's and Wigner's R-matrix: A general approach
Mathematical Physics
2009-01-13 v1 math.MP
Spectral Theory
Abstract
The main objective of this paper is to give a rigorous treatment of Wigner's and Eisenbud's -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 -matrix method is developed and the results are applied to Schr\"odinger operators on the real axis.
Cite
@article{arxiv.math-ph/0701052,
title = {On Eisenbud's and Wigner's R-matrix: A general approach},
author = {J. Behrndt and H. Neidhardt and E. R. Racec and P. N. Racec and U. Wulf},
journal= {arXiv preprint arXiv:math-ph/0701052},
year = {2009}
}