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Approximation of general zero-range potentials

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Abstract

A norm resolvent convergence result is proved for approximations of general Schrodinger operators with zero-range potentials. An approximation of the δ’-interaction by nonlocal non-Hermitian potentials (without a renormalization of the coupling constant) is also constructed.

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Authors and Affiliations

  1. Institut fur Angewandte Mathematik, Universitat Bonn, Germany

    S. Albeverio

  2. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    L. Nizhnik

Authors
  1. S. Albeverio
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  2. L. Nizhnik
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Albeverio, S., Nizhnik, L. Approximation of general zero-range potentials. Ukr Math J 52, 664–672 (2000). https://doi.org/10.1007/BF02487279

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  • DOI: https://doi.org/10.1007/BF02487279

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