{
  "annotation_id": "7c3e59a8-1f0f-4e26-a844-eb163cba94fc",
  "date_created": "2026-03-02T18:01:24.518000Z",
  "date_modified": "2026-03-02T18:01:24.518000Z",
  "file_hash": "16d795000debdacc06b074b7580d804e18c9cd7375c09af4f9f984378dcd3165",
  "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, according to variational approach we obtain a\nrepresentation for orbital particle motion in storage rings as a\nmultiresolution (multiscales) expansion in the base of well-localized in phase\nspace wavelet basis. By means of this \"wavelet microscope\" technique we can\ntake into account contribution from each scale of resolution.",
    "arxiv_id": "physics/9904039",
    "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: 1. Orbital Motion in   Storage Rings",
    "url": "https://arxiv.org/abs/physics/9904039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "26bb0f7e-18d4-40fc-a7dc-19cd65abb295",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}