Discrete spectrum from local perturbations of leaky curves
Spectral Theory
2026-01-27 v1
Abstract
We discuss spectrum of a class of singular Schr\"odinger operator models known as leaky curves and show that if the interaction support has a periodic shape, its local perturbations can give rise to a discrete spectrum below the continuum threshold even if they are of `zero mean'.
Keywords
Cite
@article{arxiv.2601.18325,
title = {Discrete spectrum from local perturbations of leaky curves},
author = {Pavel Exner},
journal= {arXiv preprint arXiv:2601.18325},
year = {2026}
}
Comments
16 pages, one figure; to appear in Pure and Applied Functional Analysis