{
  "annotation_id": "373ac001-6c56-4736-b790-d81475a4bed6",
  "date_created": "2026-03-02T18:00:36.434000Z",
  "date_modified": "2026-03-02T18:00:36.434000Z",
  "file_hash": "a3960841ff328ecc8fa2dbb4461957d7522c3f76e524895494d18fa858c2fa5b",
  "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 dynamics of an intense beam propagating through a periodic\nfocusing lattice, and to the coherent beam-beam interaction. A stationary\nsolution to the transformed Vlasov equation has been obtained.",
    "arxiv_id": "physics/0110014",
    "authors": [
      "Stephan I. Tzenov",
      "Ronald C. Davidson"
    ],
    "categories": [
      "physics.acc-ph"
    ],
    "doi": "10.1103/PhysRevSTAB.5.021001",
    "journal_ref": "Phys.Rev.ST Accel.Beams 5 (2002) 021001",
    "title": "Hamiltonian Formalism for Solving the Vlasov-Poisson Equations and Its   Applications to Periodic Focusing Systems and the Coherent Beam-Beam   Interaction",
    "url": "https://arxiv.org/abs/physics/0110014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "81b23723-798f-40ce-adbd-4d9869180add",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}