Operator interpretation of resonances generated by some operator matrices
Spectral Theory
2009-10-31 v1 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We consider the analytic continuation of the transfer function for a 2x2 matrix Hamiltonian into the unphysical sheets of the energy Riemann surface. We construct a family of non-selfadjoint operators which reproduce certain parts of the transfer-function spectrum including resonances situated on the unphysical sheets neighboring the physical sheet. On this basis, completeness and basis properties for the root vectors of the transfer function (including those for the resonances) are proved.
Cite
@article{arxiv.math/9809093,
title = {Operator interpretation of resonances generated by some operator matrices},
author = {R. Mennicken and A. K. Motovilov},
journal= {arXiv preprint arXiv:math/9809093},
year = {2009}
}
Comments
LaTeX, 15 pages, no figures; Contribution to Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, August 18-22, 1997