English

Inverse scattering on the quantum graph -- Edge model for graphen

Mathematical Physics 2021-01-28 v2 math.MP

Abstract

We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported, we show that the S-matrix for all energies in any open set in the continuous spectrum determines the potentials.

Keywords

Cite

@article{arxiv.1911.05233,
  title  = {Inverse scattering on the quantum graph -- Edge model for graphen},
  author = {Kazunori Ando and Hiroshi Isozaki and Evgeny Korotyaev and Hisashi Morioka},
  journal= {arXiv preprint arXiv:1911.05233},
  year   = {2021}
}
R2 v1 2026-06-23T12:13:47.267Z