{
  "annotation_id": "47a2f841-02d0-411c-a0be-12bb303b6a1a",
  "date_created": "2026-03-02T18:01:24.709000Z",
  "date_modified": "2026-03-02T18:01:24.709000Z",
  "file_hash": "1f1a5489dca3c08778ea1afc9dafc7ef05bb2c92b9ff91ff3b08dc8a4024cded",
  "private": false,
  "record": {
    "abstract": "Phase-space realisations of an infinite parameter family of quantum\ndeformations of the boson algebra in which the $q$-- and the $qp$--deformed\nalgebras arise as special cases are studied. Quantum and classical models for\nthe corresponding deformed oscillators are provided. The deformation parameters\nare identified with coefficients of non-linear terms in the normal forms\nexpansion of a family of classical Hamiltonian systems. These quantum\ndeformations are trivial in the sense that they correspond to non-unitary\ntransformations of the Weyl algebra. They are non-trivial in the sense that the\ndeformed commutators consistently quantise a class of non-canonical classical\nPoisson structures.",
    "arxiv_id": "q-alg/9503017",
    "authors": [
      "P. Crehan",
      "T. G. Ho"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1142/S0129055X96000342",
    "title": "Geometry of Deformed Boson Algebras",
    "url": "https://arxiv.org/abs/q-alg/9503017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "670b5c1a-4b33-44db-a62b-5eb71fbbd75d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}