Journal of Spectral Theory· 2026Q1
Resonances sets of Schrödinger operators
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- 2026year
Short summary
Resonances of Schrödinger operators with compactly supported potentials can form arbitrary subsets within specific angular regions, provided they satisfy a Blaschke condition.
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Key points
- Resonances of Schrödinger operators with compactly supported potentials can form arbitrary subsets of the angle {z: -Im(z) > C|Re(z)|}.
- The formation of these resonance subsets is contingent upon satisfying the Blaschke condition.
- Sufficient conditions are established for resonance subsets within wider angular domains.
AI-generated from the title and abstract; the full text is not read.
Abstract
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.
The authors' abstract, as published at the source. Journal of Spectral Theory, 2026 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics