Resonances sets of Schrödinger operators
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912877750779904 |
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| author | Belov, Yurii Gubkin, Pavel |
| author_facet | Belov, Yurii Gubkin, Pavel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_04828 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Resonances sets of Schrödinger operators Belov, Yurii Gubkin, Pavel Spectral Theory Complex Variables 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. |
| title | Resonances sets of Schrödinger operators |
| topic | Spectral Theory Complex Variables |
| url | https://arxiv.org/abs/2602.04828 |