Equivalence of resolvent and scattering resonances on quantum graphs

Pavel Exner Jir Lipovsky

TBD mathscidoc:1910.43143

CONTEMPORARY MATHEMATICS, 447, 73, 2007
We discuss resonances for Schrdinger operators on metric graphs which consists of a finite compact part and a finite number of halflines attached to it; the vertex coupling is assumed to be of the 6-type or certain modifications of it. Using exterior complex scaling on the graph we show that the resolvent and scattering resonances coincide in this case.
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@inproceedings{pavel2007equivalence,
  title={Equivalence of resolvent and scattering resonances on quantum graphs},
  author={Pavel Exner, and Jir Lipovsky},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131326640430672},
  booktitle={CONTEMPORARY MATHEMATICS},
  volume={447},
  pages={73},
  year={2007},
}
Pavel Exner, and Jir Lipovsky. Equivalence of resolvent and scattering resonances on quantum graphs. 2007. Vol. 447. In CONTEMPORARY MATHEMATICS. pp.73. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131326640430672.
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