{
  "annotation_id": "2ab3634c-9a4c-468b-8aa4-356af97adc87",
  "date_created": "2026-03-02T18:00:35.987000Z",
  "date_modified": "2026-03-02T18:00:35.987000Z",
  "file_hash": "8379193e6cdb64aedf6601b2578c697c146c0373c992253f1da9d396f1736c12",
  "private": false,
  "record": {
    "abstract": "A Hamiltonian approach to the solution of the Vlasov-Poisson equations has\nbeen developed. Based on a nonlinear canonical transformation, the rapidly\noscillating terms in the original Hamiltonian are transformed away, yielding a\nnew Hamiltonian that contains slowly varying terms only. The formalism has been\napplied to the coherent beam-beam interaction, and a stationary solution to the\ntransformed Vlasov equation has been obtained.",
    "arxiv_id": "physics/0106003",
    "authors": [
      "Stephan I. Tzenov",
      "Ronald C. Davidson"
    ],
    "categories": [
      "physics.acc-ph"
    ],
    "journal_ref": "Conf.Proc.C0106181:2075-2077,2001",
    "title": "Hamiltonian Formalism for Solving the Vlasov-Poisson Equations and Its   Application to the Coherent Beam-Beam Interaction",
    "url": "https://arxiv.org/abs/physics/0106003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3f163d92-8819-43a5-b078-ab1f3e922059",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}