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Leaky quantum wire and dots: a resonance model

Pavel Exner Sylwia Kondej

TBD mathscidoc:1910.43353

593-600, 2006
We discuss a model of a leaky quantum wire and a family of quantum dots described by Laplacian in L<sup>2</sup>(<sup>2</sup>) with an attractive singular perturbation supported by a line and a finite number of points. The discrete spectrum is shown to be nonempty, and furthermore, the resonance problem can be explicitly solved in this setting; by Birman-Schwinger method it is reformulated into a Friedrichs-type model.
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@inproceedings{pavel2006leaky,
  title={Leaky quantum wire and dots: a resonance model},
  author={Pavel Exner, and Sylwia Kondej},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020142103271233882},
  pages={593-600},
  year={2006},
}
Pavel Exner, and Sylwia Kondej. Leaky quantum wire and dots: a resonance model. 2006. pp.593-600. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020142103271233882.
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