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A family of quantum graph vertex couplings interpolating between different symmetries

Pavel Exner Ondej Turek Milo Tater

Mathematical Physics mathscidoc:1910.43293

Journal of Physics A: Mathematical and Theoretical, 51, (28), 285301, 2018.6
The paper discusses quantum graphs with a vertex coupling which interpolates between the common one of the type and a coupling introduced recently by two of the authors which exhibits a preferred orientation. Describing the interpolation family in terms of circulant matrices, we analyze the spectral and scattering property of such vertices, and investigate the band spectrum of the corresponding square lattice graph.
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@inproceedings{pavel2018a,
  title={A family of quantum graph vertex couplings interpolating between different symmetries},
  author={Pavel Exner, Ondej Turek, and Milo Tater},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020140117005131822},
  booktitle={Journal of Physics A: Mathematical and Theoretical},
  volume={51},
  number={28},
  pages={285301},
  year={2018},
}
Pavel Exner, Ondej Turek, and Milo Tater. A family of quantum graph vertex couplings interpolating between different symmetries. 2018. Vol. 51. In Journal of Physics A: Mathematical and Theoretical. pp.285301. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020140117005131822.
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