{
  "annotation_id": "d8fe4654-7c2f-42c1-b624-21535d918a89",
  "date_created": "2026-03-02T18:02:45.269000Z",
  "date_modified": "2026-03-02T18:02:45.269000Z",
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  "record": {
    "abstract": "In this paper I discuss by means of path integrals the quantum dynamics of a\ncharged particle on the hyperbolic plane under the influence of an\nAharonov-Bohm gauge field. The path integral can be solved in terms of an\nexpansion of the homotopy classes of paths. I discuss the interference pattern\nof scattering by an Aharonov-Bohm gauge field in the flat space limit, yielding\na characteristic oscillating behavior in terms of the field strength. In\naddition, the cases of the isotropic Higgs-oscillator and the Kepler-Coulomb\npotential on the hyperbolic plane are shortly sketched.",
    "arxiv_id": "quant-ph/9808060",
    "authors": [
      "Christian Grosche"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Int.J.Theor.Phys. 38 (1999) 955-969",
    "title": "On the Path Integral Treatment for an Aharonov-Bohm Field on the   Hyperbolic Plane",
    "url": "https://arxiv.org/abs/quant-ph/9808060"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "349824c4-a6bf-4b75-8f8f-4cc87b3a5c45",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}