Pseudomodes for Schroedinger operators with complex potentials
Spectral Theory
2019-05-21 v2 Mathematical Physics
Analysis of PDEs
Functional Analysis
math.MP
Abstract
For one-dimensional Schroedinger operators with complex-valued potentials, we construct pseudomodes corresponding to large pseudoeigenvalues. Our (non-semi-classical) approach results in substantial progress in achieving optimal conditions and conclusions as well as in covering a wide class of previously inaccessible potentials, including discontinuous ones.
Cite
@article{arxiv.1705.01894,
title = {Pseudomodes for Schroedinger operators with complex potentials},
author = {David Krejcirik and Petr Siegl},
journal= {arXiv preprint arXiv:1705.01894},
year = {2019}
}
Comments
33 pages; appendix proving technical lemmata added; version accepted for publication in Journal of Functional Analysis