The inverse resonance problem for perturbations of algebro-geometric potentials

Details The inverse resonance problem for perturbations of algebro-geometric potentials The inverse resonance problem for perturbations of algebro-geometric potentials

2003-06-02

arxiv.org/abs/math-ph/0306003v1

Physics

Mathematical Physics

14 pages

Scientific paper

10.1088/0266-5611/20/2/011

We prove that a compactly supported perturbation of a rational or simply
periodic algebro-geometric potential of the one-dimensional Schr\"odinger
equation on the half line is uniquely determined by the location of its
Dirichlet eigenvalues and resonances.

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