{
  "annotation_id": "5ada60c1-123a-4000-8638-62c142d27a1a",
  "date_created": "2026-03-02T18:01:45.195000Z",
  "date_modified": "2026-03-02T18:01:45.195000Z",
  "file_hash": "d0511146e133037abbc12ddeb5bf82fb64c508a0c8daae613dd4e4b846cb0c84",
  "private": false,
  "record": {
    "abstract": "The formal solution of a general stargenvalue equation is presented, its\nproperties studied and a geometrical interpretation given in terms of\nstar-hypersurfaces in quantum phase space. Our approach deals with discrete and\ncontinuous spectra in a unified fashion and includes a systematic treatment of\nnon-diagonal stargenfunctions. The formalism is used to obtain a complete\nformal solution of Wigner quantum mechanics in the Heisenberg picture and to\nwrite a general formula for the stargenfunctions of Hamiltonians quadratic in\nthe phase space variables in arbitrary dimension. A variety of systems is then\nused to illustrate the former results.",
    "arxiv_id": "quant-ph/0110035",
    "authors": [
      "Nuno Costa Dias",
      "Joao Nuno Prata"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.aop.2003.11.004",
    "journal_ref": "Annals of Physics 311/1 (2004) 120-151",
    "title": "Formal solutions of stargenvalue equations",
    "url": "https://arxiv.org/abs/quant-ph/0110035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f98f8ca3-213b-4ce8-add4-767194159c68",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}