On S-matrix of Schrodinger Operators with Non-Symmetric Zero-Range Potentials
Mathematical Physics
2015-06-19 v1 math.MP
Spectral Theory
Abstract
Non-self-adjoint Schrodinger operators which correspond to non-symmetric zero-range potentials are investigated. We show that various properties of these operators (eigenvalues, exceptional points, spectral singularities and the property of similarity to a self-adjoint operator) are completely determined by poles of the corresponding S-matrix.
Keywords
Cite
@article{arxiv.1403.6726,
title = {On S-matrix of Schrodinger Operators with Non-Symmetric Zero-Range Potentials},
author = {P. A. Cojuhari and A. Grod and S. Kuzhel},
journal= {arXiv preprint arXiv:1403.6726},
year = {2015}
}