Spectral Properties of Non-Self-Adjoint Operators in the Semi-classical Regime
Spectral Theory
2007-05-23 v1
Abstract
We give a spectral description of the semi-classical Schrodinger operator with a piecewise linear, complex valued potential. Moreover, using these results, we show how an arbitrarily small bounded perturbation of a non-self-adjoint operator can completely change the spectrum of the operator.
Keywords
Cite
@article{arxiv.math/0003044,
title = {Spectral Properties of Non-Self-Adjoint Operators in the Semi-classical Regime},
author = {P. Redparth},
journal= {arXiv preprint arXiv:math/0003044},
year = {2007}
}
Comments
17 pages, 3 figures