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Spectral Singularities Do Not Correspond to Bound States in the Continuum

Mathematical Physics 2012-07-11 v1 High Energy Physics - Theory math.MP Quantum Physics

Abstract

We show that, contrary to a claim made in arXiv:1011.0645, the von Neumann-Winger bound states that lie in the continuum of the scattering states are fundamentally different from Naimark's spectral singularities.

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Cite

@article{arxiv.1207.2278,
  title  = {Spectral Singularities Do Not Correspond to Bound States in the Continuum},
  author = {Ali Mostafazadeh},
  journal= {arXiv preprint arXiv:1207.2278},
  year   = {2012}
}

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2 pages