Resonances sets of Schrödinger operators
Abstract
We prove that resonances of the Schrödinger operator with compactly supported potential can contain arbitrary subset of the angle $\{z: -\text{Im} z > C |\text{Re} z|\}$ that satisfies Blaschke condition. We also establish sufficient conditions for the subsets of wider domains.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Holomorphic and Operator Theory
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 4 February 2026
- Document type
- Preprint