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Spectral asymptotics of a strong interaction supported by a surface

Pavel Exner Michal Jex

TBD mathscidoc:1910.43197

Physics Letters A, 378, 2091-2095, 2014.6
We derive asymptotic expansion for the spectrum of Hamiltonians with a strong attractive interaction supported by a smooth surface in R 3, either infinite and asymptotically planar, or compact and closed. Its second term is found to be determined by a Schrdinger type operator with an effective potential expressed in terms of the interaction support curvatures.
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@inproceedings{pavel2014spectral,
  title={Spectral asymptotics of a strong  interaction supported by a surface},
  author={Pavel Exner, and Michal Jex},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020132959324182726},
  booktitle={Physics Letters A},
  volume={378},
  pages={2091-2095},
  year={2014},
}
Pavel Exner, and Michal Jex. Spectral asymptotics of a strong interaction supported by a surface. 2014. Vol. 378. In Physics Letters A. pp.2091-2095. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020132959324182726.
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