{
  "annotation_id": "8b3eaa82-9cc9-437b-a1c7-541329bf23d8",
  "date_created": "2026-03-02T18:01:24.761000Z",
  "date_modified": "2026-03-02T18:01:24.761000Z",
  "file_hash": "02e1d7a2949ed2180175688989249ff3a5f5789f721286bbd7b238f35e76626e",
  "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 a model for spin-orbital motion:\norbital dynamics and Thomas-BMT equations for classical spin vector. We\nrepresent the solution of this dynamical system in framework of biorthogonal\nwavelets via variational approach. We consider a different variational\napproach, which is applied to each scale.",
    "arxiv_id": "physics/9904042",
    "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: 4. Spin-Orbital Motion",
    "url": "https://arxiv.org/abs/physics/9904042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e3fc131f-4882-4e75-8dc4-66e236a31b76",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}