Spectral Instability for Some Schroedinger Operators
Spectral Theory
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Abstract
We define the concept of instability index of an isolated eigenvalue of a non-self-adjoint operator, and prove some of its general properties. We also describe a stable procedure for computing this index for Schroedinger operators in one dimension, and apply it to the complex resonances of a typical operator with a dilation analytic potential.
Cite
@article{arxiv.math/9810063,
title = {Spectral Instability for Some Schroedinger Operators},
author = {A. Aslanyan and E. B. Davies},
journal= {arXiv preprint arXiv:math/9810063},
year = {2025}
}
Comments
27 pages, 6 Postscript figures