{
  "annotation_id": "6ca746ca-c413-4f71-8cc9-243acb1cc472",
  "date_created": "2026-03-02T18:01:24.526000Z",
  "date_modified": "2026-03-02T18:01:24.526000Z",
  "file_hash": "43b5fa69607ba872acb2cd3a3872d41e78af709132c8645e6b1a79775e7edf23",
  "private": false,
  "record": {
    "abstract": "In this series of eight papers we present the applications of methods from\nwavelet analysis to polynomial approximations for a number of accelerator\nphysics problems. In this part we consider orbital motion in transverse plane\nfor a single particle in a circular magnetic lattice in case when we take into\naccount multipolar expansion up to an arbitrary finite number. We reduce\ninitial dynamical problem to the finite number (equal to the number of n-poles)\nof standard algebraical problem and represent all dynamical variables via an\nexpansion in the base of periodical wavelets.",
    "arxiv_id": "physics/9904040",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "chao-dyn",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "physics.comp-ph"
    ],
    "title": "Nonlinear Accelerator Problems via Wavelets: 2. Orbital Dynamics in   General Multipolar Field",
    "url": "https://arxiv.org/abs/physics/9904040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b44095f8-e057-4568-b650-63ed99ef6c26",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}