Resonances sets of Schrödinger operators
We prove that resonances of the Schrödinger operator with compactly supported potential can contain arbitrary subset of the angle \{z: -\operatorname{Im}z > C \lvert\operatorname{Re}z\rvert\} that satisfies Blaschke condition. We also establish sufficient conditions for the subsets of wider domains.
Authors
- Yurii Belov (ORCID: https://orcid.org/0000-0002-5123-163X)
- Губкин Павел Васильевич (ORCID: https://orcid.org/0000-0002-0882-1087)
Institutions
- Russian Academy of Sciences (RU)
- St Petersburg University (RU)
- St. Petersburg Department of Steklov Institute of Mathematics (RU)
- Steklov Mathematical Institute (RU)
Publication Details
- Journal
- Journal of Spectral Theory
- Published
- 2026-10-29
- DOI
- https://doi.org/10.4171/jst/636
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00