{
  "annotation_id": "c7c2bd06-5bea-42fa-ba44-94ed16368164",
  "date_created": "2026-03-02T18:01:11.038000Z",
  "date_modified": "2026-03-02T18:01:11.038000Z",
  "file_hash": "8d9616cabe73c8cbd8463cc5f4012b9cf46f82f19333ca72d40266c43a83f959",
  "private": false,
  "record": {
    "abstract": "In this paper we introduce a method for finding a time independent\nHamiltonian of a given dynamical system by canonoid transformation. We also\nfind a condition that the system should satisfy to have an equivalent time\nindependent formulation. We study the example of damped oscillator and give the\nnew time independent Hamiltonian for it, which has the property of tending to\nthe standard Hamiltonian of the harmonic oscillator as damping goes to zero.",
    "arxiv_id": "physics/0606197",
    "authors": [
      "Michal Dobrski"
    ],
    "categories": [
      "physics.class-ph",
      "hep-th"
    ],
    "doi": "10.2478/s11534-007-0024-7",
    "journal_ref": "CentralEur.J.PHys.5:313-323,2007",
    "title": "Looking for a time independent Hamiltonian of a dynamical system",
    "url": "https://arxiv.org/abs/physics/0606197"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "314ae6a6-8b78-455d-9b8b-145426d03ace",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}