{
  "annotation_id": "5c1e783f-763a-4c98-875e-bed51be703ad",
  "date_created": "2026-03-02T18:01:21.522000Z",
  "date_modified": "2026-03-02T18:01:21.522000Z",
  "file_hash": "da0fb86a1fbcfaeaa10f1e92d3a6f299f58588dc403f5d4ef64148583c7268a3",
  "private": false,
  "record": {
    "abstract": "New, gauge-independent, second-order Lagrangian for the motion of classical,\ncharged test particles is used to derive the corresponding Hamiltonian\nformulation. For this purpose a Hamiltonian description of the theories derived\nfrom the second-order Lagrangian is presented. Unlike in the standard approach,\nthe canonical momenta arising here are explicitely gauge-invariant and have a\nclear physical intepretation. The reduced symplectic form is equaivalent to the\nSouriau\u0027s form. This approach illustrates a new method of deriving equations of\nmotion from field equations.",
    "arxiv_id": "physics/9807032",
    "authors": [
      "D. Chruscinski",
      "J. Kijowski"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1016/S0393-0440(97)00065-X",
    "journal_ref": "J. Goem. Phys. 27 (1998) 49-64",
    "title": "A Gauge-invariant Hamiltonian Description of the Motion of Charged Test   Particles",
    "url": "https://arxiv.org/abs/physics/9807032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "baa3775e-7372-445b-bc79-9bef8f1193d1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}