{
  "annotation_id": "2a2a9f4e-354a-4d9c-9477-1bc5331e294d",
  "date_created": "2026-03-02T18:01:25.023000Z",
  "date_modified": "2026-03-02T18:01:25.023000Z",
  "file_hash": "4f03d6fbeaf41d38bf23740b21b3e22fd74a163100ffc4decc1937cef78cd128",
  "private": false,
  "record": {
    "abstract": "New Lagrangians, depending on the field strengths and the electric and\nmagnetic sources are found, which lead to the Maxwell equations. One new\nfeature is that the equations of motion are obtained by varying the Lagrangian\nwith respect to both the field strengths and the sources. In this way,\nconserved currents can be found for the field strengths and the electric or\nmagnetic sources. Furthermore, using the equations of motion, the electric or\nmagnetic sources can be eliminated, leading to conserved currents for the field\nstrengths only (in the presence of electric and magnetic sources). Another new\nfeature is the construction of a Lagrangian invariant under the duality\ntransformation for both field strengths and electric and magnetic sources. The\nconserved current, after the elimination of electric and magnetic sources,\ndepends on the field strengths only. The conserved quantity is related to the\ntotal helicity of the electromagnetic field.",
    "arxiv_id": "physics/9911028",
    "authors": [
      "A. Gersten"
    ],
    "categories": [
      "physics.gen-ph",
      "physics.class-ph"
    ],
    "journal_ref": "Ann. Fond. Louis de Broglie 21, 67-79 (1996)",
    "title": "Conserved Currents of the Maxwell Equations with Electric and Magnetic   Sources",
    "url": "https://arxiv.org/abs/physics/9911028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5a718677-17fd-4555-a409-a324101e8f16",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}