Discrete spectrum from local perturbations of leaky curves
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'.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Advanced Mathematical Physics Problems
Quantum Mechanics and Non-Hermitian Physics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 26 January 2026
- Document type
- Preprint