Demonstrates how eigenvalues and resonances determine the radial Schrödinger operator, suggesting new insights into quantum mechanics.
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.
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Xu et al. (2026) studied this question.
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