The inverse resonance problem for perturbations of algebro-geometric potentials
Mathematical Physics
2011-11-09 v1 math.MP
Spectral Theory
Abstract
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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Cite
@article{arxiv.math-ph/0306003,
title = {The inverse resonance problem for perturbations of algebro-geometric potentials},
author = {B. M. Brown and R. Weikard},
journal= {arXiv preprint arXiv:math-ph/0306003},
year = {2011}
}
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14 pages