{
  "annotation_id": "6bd470b4-bc3f-4eb2-af79-a1f442161ae1",
  "date_created": "2026-03-02T18:00:29.373000Z",
  "date_modified": "2026-03-02T18:00:29.373000Z",
  "file_hash": "da14491d7997c47d21feb3fad7efe171ec3f5018416285d1a4df50ec561e5ffd",
  "private": false,
  "record": {
    "abstract": "The dynamic of a classical system can be expressed by means of Poisson\nbrackets. In this paper we generalize the relation between the usual non\ncovariant Hamiltonian and the Poisson brackets to a covariant Hamiltonian and\nnew brackets in the frame of the Minkowski space. These brackets can be related\nto those used by Feynman in his derivation of Maxwell\u0027s equations. The case of\ncurved space is also considered with the introduction of Christoffel symbols,\ncovariant derivatives, and curvature tensors.",
    "arxiv_id": "physics/0004005",
    "authors": [
      "A. Berard",
      "H. Mohrbach",
      "P. Gosselin"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "journal_ref": "Int.J.Theor.Phys. 39 (2000) 1055-1068",
    "title": "Lorentz-Covariant Hamiltonian Formalism",
    "url": "https://arxiv.org/abs/physics/0004005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "89dd0ad9-7f2c-4611-8776-738da5280bae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}