Bounds on complex eigenvalues and resonances
Spectral Theory
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Abstract
We obtain bounds on the complex eigenvalues of non-self-adjoint Schr\"odinger operators with complex potentials, and also on the complex resonances of self-adjoint Schr\"odinger operators. Our bounds are compared with numerical results, and are seen to provide useful information.
Cite
@article{arxiv.math/9911238,
title = {Bounds on complex eigenvalues and resonances},
author = {A. A. Abramov and A. Aslanyan and E. B. Davies},
journal= {arXiv preprint arXiv:math/9911238},
year = {2025}
}
Comments
LaTeX 2e, 18 pages, 1 figure