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Potential approximations to ': an inverse Klauder phenomenon with norm-resolvent convergence

Pavel Exner Hagen Neidhardt Valentin A Zagrebnov

TBD mathscidoc:1910.43033

Communications in Mathematical Physics, 224, (3), 593-612, 2001.12
We show that there is a family Schrdinger operators with scaled potentials which approximates the '-interaction Hamiltonian in the norm-resolvent sense. This approximation, based on a formal scheme proposed by Cheon and Shigehara, has nontrivial convergence properties which are in several respects opposite to those of the Klauder phenomenon.
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@inproceedings{pavel2001potential,
  title={Potential approximations to ': an inverse Klauder phenomenon with norm-resolvent convergence},
  author={Pavel Exner, Hagen Neidhardt, and Valentin A Zagrebnov},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020122532283522562},
  booktitle={Communications in Mathematical Physics},
  volume={224},
  number={3},
  pages={593-612},
  year={2001},
}
Pavel Exner, Hagen Neidhardt, and Valentin A Zagrebnov. Potential approximations to ': an inverse Klauder phenomenon with norm-resolvent convergence. 2001. Vol. 224. In Communications in Mathematical Physics. pp.593-612. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020122532283522562.
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