{
  "annotation_id": "d65f20ae-0d10-4931-afcc-cb62bac4ca9b",
  "date_created": "2026-03-02T18:02:20.032000Z",
  "date_modified": "2026-03-02T18:02:20.032000Z",
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  "record": {
    "abstract": "We discuss the alternative algebraic structures on the manifold of quantum\nstates arising from alternative Hermitian structures associated with quantum\nbi-Hamiltonian systems. We also consider the consequences at the level of the\nHeisenberg picture in terms of deformations of the associative product on the\nspace of observables.",
    "arxiv_id": "quant-ph/0507233",
    "authors": [
      "G. Marmo",
      "G. Scolarici",
      "A. Simoni",
      "F. Ventriglia"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Int.J.Geom.Meth.Mod.Phys. 2 (2005) 919-938",
    "title": "Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems",
    "url": "https://arxiv.org/abs/quant-ph/0507233"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0dd3db4e-7b3b-445b-af62-6a55ec9a499e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}