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Bound states of infinite curved polymer chains

Pavel Exner

TBD mathscidoc:1910.43124

Letters in Mathematical Physics, 57, (2), 87-96, 2001.8
We investigate an infinite array of point interactions of the same strength in \mathbb{R} <sup> <i>d</i> </sup>, <i>d</i> = 2, 3, situated at vertices of a polygonal curve with a fixed edge length. We demonstrate that if the curve is not a line, but it is asymptotically straight in a suitable sense, the corresponding Hamiltonian has bound states. An example is given in which the number of these bound states can exceed any positive integer.
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@inproceedings{pavel2001bound,
  title={Bound states of infinite curved polymer chains},
  author={Pavel Exner},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020130706813115653},
  booktitle={Letters in Mathematical Physics},
  volume={57},
  number={2},
  pages={87-96},
  year={2001},
}
Pavel Exner. Bound states of infinite curved polymer chains. 2001. Vol. 57. In Letters in Mathematical Physics. pp.87-96. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020130706813115653.
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