{
  "annotation_id": "a5d1b2f4-c60d-477c-9726-dd2459466054",
  "date_created": "2026-03-02T18:01:24.837000Z",
  "date_modified": "2026-03-02T18:01:24.837000Z",
  "file_hash": "bb11527be8be03e2a43e346bb5ab3427e61e145f071cef6faa0a2d2a5d5a4515",
  "private": false,
  "record": {
    "abstract": "A kinetic equation for the joint probability distribution for fixed values of\nthe classical action, momentum and density has been derived. Further, the\nhydrodynamic equations of continuity and balance of momentum density have been\ntransformed into a Schroedinger-like equation, describing particle motion in an\neffective electro-magnetic field and an expression for the gauge potentials has\nbeen obtained.",
    "arxiv_id": "physics/9908012",
    "authors": [
      "Stephan I. Tzenov"
    ],
    "categories": [
      "physics.acc-ph",
      "physics.plasm-ph",
      "quant-ph"
    ],
    "title": "Random Beam Propagation in Accelerators and Storage Rings",
    "url": "https://arxiv.org/abs/physics/9908012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "74214be2-b0be-4c3e-9850-2bab554e7652",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}