{
  "annotation_id": "34f58bf2-4a03-45a9-ae37-008712e81d87",
  "date_created": "2026-03-02T18:02:45.124000Z",
  "date_modified": "2026-03-02T18:02:45.124000Z",
  "file_hash": "16dbedb04628dadd1554c40779a16729085e7ab08214d9941aedc1944c7b23e0",
  "private": false,
  "record": {
    "abstract": "We consider potential scattering theory of a nonrelativistic quantum\nmechanical 2-particle system in R^2 with anyon statistics. Sufficient\nconditions are given which guarantee the existence of wave operators and the\nunitarity of the S-matrix. As examples the rotationally invariant potential\nwell and the delta-function potential are discussed in detail. In case of a\ngeneral rotationally invariant potential the angular momentum decomposition\nleads to a theory of Jost functions. The anyon statistics parameter gives rise\nto an interpolation for angular momenta analogous to the Regge trajectories for\ncomplex angular momenta. Levinson\u0027s theorem is adapted to the present context.\nIn particular we find that in case of a zero energy resonance the statistics\nparameter can be determined from the scattering phase.",
    "arxiv_id": "quant-ph/9809027",
    "authors": [
      "C. Korff",
      "G. Lang",
      "R. Schrader"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.532837",
    "journal_ref": "J.Math.Phys. 40 (1999) 1831-1869",
    "title": "Two-particle scattering theory for anyons",
    "url": "https://arxiv.org/abs/quant-ph/9809027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ed491109-e543-4e41-9196-b4a12c3f2031",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}