Discrete spectrum from local perturbations of leaky curves
arXiv:2601.18325
Abstract
We discuss spectrum of a class of singular Schrödinger 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'.
16 pages, one figure; to appear in Pure and Applied Functional Analysis