Schrodinger Operators with Non-Symmetric Zero-Range Potentials
Mathematical Physics
2013-09-24 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
Non-self-adjoint Schrodinger operators A which correspond to non-symmetric zero-range potentials are investigated. For a given A, the description of non-real eigenvalues, spectral singularities and exceptional points are obtained; the possibility of interpretation of A as a self-adjoint operator in a Krein space is studied, the problem of similarity of A to a self-adjoint operator in a Hilbert space is solved.
Cite
@article{arxiv.1309.5482,
title = {Schrodinger Operators with Non-Symmetric Zero-Range Potentials},
author = {A. Grod and S. Kuzhel},
journal= {arXiv preprint arXiv:1309.5482},
year = {2013}
}