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Essential spectrum of Schrdinger operators with interactions on the union of compact Lipschitz hypersurfaces

Jussi Behrndt Pavel Exner Vladimir Lotoreichik

TBD mathscidoc:1910.43174

PAMM, 13, (1), 523-524, 2013.12
In this note we prove that the essential spectrum of a Schrdinger operator with potential supported on a finite number of compact Lipschitz hypersurfaces is given by [0, +). We emphasize that the union of a family of Lipschitz hypersurfaces is in general not Lipschitz. ( 2013 WileyVCH Verlag GmbH & Co. KGaA, Weinheim)
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@inproceedings{jussi2013essential,
  title={Essential spectrum of Schrdinger operators with interactions on the union of compact Lipschitz hypersurfaces},
  author={Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020132321580167703},
  booktitle={PAMM},
  volume={13},
  number={1},
  pages={523-524},
  year={2013},
}
Jussi Behrndt, Pavel Exner, and Vladimir Lotoreichik. Essential spectrum of Schrdinger operators with interactions on the union of compact Lipschitz hypersurfaces. 2013. Vol. 13. In PAMM. pp.523-524. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020132321580167703.
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