{
  "id": "1907.07838",
  "version": "v1",
  "published": "2019-07-18T01:58:48.000Z",
  "updated": "2019-07-18T01:58:48.000Z",
  "title": "An inverse problem for a class of diagonal Hamiltonians",
  "authors": [
    "Masatoshi Suzuki"
  ],
  "comment": "20 pages, 0 figures",
  "categories": [
    "math.FA",
    "math.NT"
  ],
  "abstract": "Hamiltonians are 2-by-2 positive semidefinite real symmetric matrix valued functions satisfying certain conditions. In this paper, we solve the inverse problem for which recovers a Hamiltonian from the solution of a first-order system consisting of ordinary differential equations parametrized by complex numbers attached to a given Hamiltonian, under certain conditions for the solutions. This inverse problem is a generalization of the inverse problem for a class of two-dimensional Hamiltonian systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-18T01:58:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A55",
      "31A10",
      "34L40"
    ],
    "keywords": [
      "inverse problem",
      "diagonal hamiltonians",
      "matrix valued functions satisfying",
      "positive semidefinite real symmetric matrix",
      "real symmetric matrix valued functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}