{
  "annotation_id": "34747574-88ca-4b74-a7a5-8098c44bcd3c",
  "date_created": "2026-03-02T18:01:28.531000Z",
  "date_modified": "2026-03-02T18:01:28.531000Z",
  "file_hash": "375e42f84e46de3140520b2ff20b7bb1b998e11027556eb87474644e114c9342",
  "private": false,
  "record": {
    "abstract": "An algebraic formalism for description of quantum states of charged particle\nwith spin moving in two-dimensional space under influence of singular magnetic\nfield is developed in terms of graded algebras. The fundamental assumption is\nthat the particle is transformed into a composite system which consists\nquasiparticles, quasiholes and magnetic fluxes. Such system is endowed with\ngeneralized statistics determined by a grading group and a commutation factor\non it. Composite systems corresponding to the quantum Hall effect and the\nelectronic magnetotransport anomaly are described. The Fock space\nrepresentation are also given.",
    "arxiv_id": "q-alg/9706031",
    "authors": [
      "Wladyslaw Marcinek"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1063/1.532557",
    "title": "Particles in Singular Magnetic Field",
    "url": "https://arxiv.org/abs/q-alg/9706031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c2d3c02f-e2fe-4263-a047-4e3239fd47c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}