{
  "annotation_id": "f67c0be6-cf71-4297-b5bd-0246f4c5afa9",
  "date_created": "2026-03-02T18:02:13.691000Z",
  "date_modified": "2026-03-02T18:02:13.691000Z",
  "file_hash": "74f211623f197b07ea447fd7842750bdb6c29236e38186b761a43a9889ef0359",
  "private": false,
  "record": {
    "abstract": "The idea that a system obeying interpolating statistics can be described by a\ndeformed oscillator algebra has been an outstanding issue. This original\nconcept introduced long ago by Greenberg is the motivation for this\ninvestigation. We establish that a q-deformed algebra can be used to describe\nthe statistics of particles (anyons) interpolating continuously between Bose\nand Fermi statistics, i.e., fractional statistics. We show that the generalized\nintermediate statistics splits into the Boson-like and Fermion-like regimes,\neach described by a unique oscillator algebra. The B-anyon thermostatistics is\ndescribed by employing the q-calculus based on the Jackson derivative but the\nF-anyons are described by ordinary derivatives of thermodynamics. Thermodynamic\nfunctions of both B-anyons and F-anyons are determined and examined.",
    "arxiv_id": "quant-ph/0412189",
    "authors": [
      "P. Narayana Swamy"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "title": "Interpolating statistics realized as Deformed Harmonic Oscillators",
    "url": "https://arxiv.org/abs/quant-ph/0412189"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f87ba77-8729-4930-aaa2-e0a8400b1ea6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}