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Tripartite connection condition for a quantum graph vertex

Taksu Cheon Pavel Exner Ondej Turek

TBD mathscidoc:1910.43155

Physics Letters A, 375, (2), 113-118, 2010.12
We discuss formulations of boundary conditions in a quantum graph vertex and demonstrate that the so-called ST-form can be further reduced up to a form more effective in certain applications: In particular, in identifying the number of independent parameters for given ranks of two connection matrices, or in calculating the scattering matrix when both matrices are singular. The new form of boundary conditions, called the P Q R S-form, also gives a natural scheme to design generalized low and high pass quantum filters.
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@inproceedings{taksu2010tripartite,
  title={Tripartite connection condition for a quantum graph vertex},
  author={Taksu Cheon, Pavel Exner, and Ondej Turek},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131711560009684},
  booktitle={Physics Letters A},
  volume={375},
  number={2},
  pages={113-118},
  year={2010},
}
Taksu Cheon, Pavel Exner, and Ondej Turek. Tripartite connection condition for a quantum graph vertex. 2010. Vol. 375. In Physics Letters A. pp.113-118. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131711560009684.
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