{
  "annotation_id": "8bf7535e-0504-485e-a2a2-4e276f3c9345",
  "date_created": "2026-03-02T18:00:43.074000Z",
  "date_modified": "2026-03-02T18:00:43.074000Z",
  "file_hash": "40e8756b52536750a83b3ba3e17737a5ef50756b2f7548cf3213bf99fef2682b",
  "private": false,
  "record": {
    "abstract": "The search for Noether point symmetries for non-relativistic charged particle\nmotion is reduced to the solution for a set of two coupled, linear partial\ndifferential equations for the electromagnetic field. These equations are\ncompletely solved when the magnetic field is produced by a fixed magnetic\nmonopole. The result is applied to central electric field cases, in particular\nto the time-dependent monopole-oscillator problem. As an additional example of\nthe theory, we found all Noether point symmetries and invariants for a constant\nmagnetic field and a time-dependent harmonic electric field with a forcing\nterm.",
    "arxiv_id": "physics/0211074",
    "authors": [
      "F. Haas"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "title": "Noether symmetries for charged particle motion under a magnetic monopole   and general electric fields",
    "url": "https://arxiv.org/abs/physics/0211074"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0ac627b4-5e75-4bdf-9b02-93210bca7d82",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}