{
  "annotation_id": "db159f27-d6c3-46cb-bcb1-59839cf777bd",
  "date_created": "2026-03-02T18:01:59.812000Z",
  "date_modified": "2026-03-02T18:01:59.812000Z",
  "file_hash": "8e82537d9e833b6b5477baf20ab2fdeb26ef200a2b5d6a98f553c3a6994702c3",
  "private": false,
  "record": {
    "abstract": "We present a theory of particles, obeying intermediate statistics (\"anyons\"),\ninterpolating between Bosons and Fermions, based on the principle of Detailed\nBalance. It is demonstrated that the scattering probabilities of identical\nparticles can be expressed in terms of the basic numbers, which arise naturally\nand logically in this theory. A transcendental equation determining the\ndistribution function of anyons is obtained in terms of the statistics\nparameter, whose limiting values 0 and 1 correspond to Bosons and Fermions\nrespectively. The distribution function is determined as a power series\ninvolving the Boltzmann factor and the statistics parameter and we also express\nthe distribution function as an infinite continued fraction. The last form\nenables one to develop approximate forms for the distribution function, with\nthe first approximant agreeing with our earlier investigation.",
    "arxiv_id": "quant-ph/0308084",
    "authors": [
      "R. Acharya",
      "P. Narayana Swamy"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/37/7/001",
    "journal_ref": "J.Phys.A37:2527-2536,2004; Erratum-ibid.A37:6605,2004",
    "title": "Detailed Balance and Intermediate Statistics",
    "url": "https://arxiv.org/abs/quant-ph/0308084"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "318b0095-12f3-4197-b63f-5e0a644a18ec",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}