{
  "id": "2102.05217",
  "version": "v1",
  "published": "2021-02-10T01:48:42.000Z",
  "updated": "2021-02-10T01:48:42.000Z",
  "title": "Inverse scattering on the quantum graph for graphene",
  "authors": [
    "Kazunori Ando",
    "Hiroshi Isozaki",
    "Evgeny Korotyaev",
    "Hisashi Morioka"
  ],
  "comment": "Many parts of this paper, especially the part dealing with the the forward problem, can be generalized to more general lattices, which can be seen in arXiv:1911.05233",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "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 and symmetric, we show that the S-matrix for all energies in any given open set in the continuous spectrum determines the potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-10T01:48:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81U40",
      "47A40"
    ],
    "keywords": [
      "quantum graph",
      "inverse scattering",
      "potentials",
      "open set",
      "continuous spectrum determines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}