English

Resonant uniqueness of radial semiclassical Schrodinger operators

Analysis of PDEs 2012-06-06 v2 Mathematical Physics math.MP Spectral Theory

Abstract

We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger operator among all superexponentially decaying potentials in R^n.

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Cite

@article{arxiv.1107.0960,
  title  = {Resonant uniqueness of radial semiclassical Schrodinger operators},
  author = {Kiril Datchev and Hamid Hezari},
  journal= {arXiv preprint arXiv:1107.0960},
  year   = {2012}
}

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8 pages