{
  "id": "math-ph/0410043",
  "version": "v1",
  "published": "2004-10-18T14:49:24.000Z",
  "updated": "2004-10-18T14:49:24.000Z",
  "title": "On some discrete model of the magnetic Laplacian",
  "authors": [
    "Volodymyr Sushch"
  ],
  "comment": "13 pages",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We construct some intrinsically defined discrete model of the magnetic Laplacian. The existence and uniqueness of solutions of the Dirichlet problem for the difference Poisson type equation are proved. We study in detail properties of the discrete model including the limiting process in the two-dimensional Euclidean case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-18T14:49:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q60",
      "39A12",
      "39A70"
    ],
    "keywords": [
      "magnetic laplacian",
      "difference poisson type equation",
      "two-dimensional euclidean case",
      "dirichlet problem",
      "intrinsically defined discrete model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.ph..10043S"
    }
  }
}