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Resonances from perturbations of quantum graphs with rationally related edges

Pavel Exner Ji Lipovsk

TBD mathscidoc:1910.43090

Journal of Physics A: Mathematical and Theoretical, 43, (10), 105301, 2010.2
We discuss quantum graphs consisting of a compact part and semi-infinite leads. Such a system may have embedded eigenvalues if some edge lengths in the compact part are rationally related. If such a relation is perturbed, these eigenvalues may turn into resonances; we analyze this effect both generally and in simple examples.
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@inproceedings{pavel2010resonances,
  title={Resonances from perturbations of quantum graphs with rationally related edges},
  author={Pavel Exner, and Ji Lipovsk},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020125623920504619},
  booktitle={Journal of Physics A: Mathematical and Theoretical},
  volume={43},
  number={10},
  pages={105301},
  year={2010},
}
Pavel Exner, and Ji Lipovsk. Resonances from perturbations of quantum graphs with rationally related edges. 2010. Vol. 43. In Journal of Physics A: Mathematical and Theoretical. pp.105301. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020125623920504619.
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