Inverse Resonance Problems for the Radial Schrödinger Operator
ABSTRACT We consider the radial Schrödinger operator on the half‐line with angular momentum . Under some conditions on the potentials, we show that the eigenvalues and resonances uniquely determine the radial Schrödinger operator. The methods of proof are based on reducing the inverse resonance problems to the inverse spectral or inverse scattering problems.
Authors
- Chuan‐Fu Yang (ORCID: https://orcid.org/0000-0002-2497-0891)
- Xin-Jian Xu (ORCID: https://orcid.org/0000-0003-1062-2068)
- Vjacheslav A. Yurko
Institutions
- Saratov State University (RU)
- Nanjing University of Science and Technology (CN)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2026-06-25
- DOI
- https://doi.org/10.1002/mana.70181
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China