{
  "id": "1609.03451",
  "version": "v1",
  "published": "2016-09-12T15:41:03.000Z",
  "updated": "2016-09-12T15:41:03.000Z",
  "title": "Dynamics of electrons and explicit solutions of Dirac-Weyl systems",
  "authors": [
    "Alexander Sakhnovich"
  ],
  "categories": [
    "math-ph",
    "math.AP",
    "math.DS",
    "math.MP"
  ],
  "abstract": "Explicit solutions of Dirac-Weyl system, which is essential in graphene studies, are constructed using our recent approach to the construction of solutions of dynamical systems. The obtained classes of solutions are much wider than the ones, which were considered before. It is proved that neither constructed potentials nor corresponding solutions have singularities. Various examples are provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-12T15:41:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q41",
      "74H05",
      "78A35"
    ],
    "keywords": [
      "explicit solutions",
      "dirac-weyl system",
      "graphene studies",
      "construction",
      "dynamical systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}