{
  "annotation_id": "064ba1d8-f525-4246-bbee-f3685c220624",
  "date_created": "2026-03-02T18:01:59.968000Z",
  "date_modified": "2026-03-02T18:01:59.968000Z",
  "file_hash": "1842e38fd5cc29f8878cac23ac82b0335134361ee599caeab5c49c39323e528a",
  "private": false,
  "record": {
    "abstract": "We present the application of the variational-wavelet analysis to the\nquasiclassical calculations of the solutions of Wigner/von Neumann/Moyal and\nrelated equations corresponding to the nonlinear (polynomial) dynamical\nproblems. (Naive) deformation quantization, the multiresolution representations\nand the variational approach are the key points. We construct the solutions via\nthe multiscale expansions in the generalized coherent states or high-localized\nnonlinear eigenmodes in the base of the compactly supported wavelets and the\nwavelet packets. We demonstrate the appearance of (stable) localized patterns\n(waveletons) and consider entanglement and decoherence as possible\napplications.",
    "arxiv_id": "quant-ph/0306197",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "doi": "10.1142/9789812702333_0003",
    "title": "Pattern Formation in Wigner-like Equations via Multiresolution",
    "url": "https://arxiv.org/abs/quant-ph/0306197"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "25a522f9-68a6-4bed-b3c0-ad1d47c9d015",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}