{
  "annotation_id": "96e30658-ac44-45b7-a100-62136c40a086",
  "date_created": "2026-03-02T18:02:37.380000Z",
  "date_modified": "2026-03-02T18:02:37.380000Z",
  "file_hash": "bc255e43affcb800331772e03bec05443048d557e82a8233eefa787b33e427e3",
  "private": false,
  "record": {
    "abstract": "A mapping is obtained relating analytical radial Coulomb systems in any\ndimension greater than one to analytical radial oscillators in any dimension.\nThis mapping, involving supersymmetry-based quantum-defect theory, is possible\nfor dimensions unavailable to conventional mappings. Among the special cases is\nan injection from bound states of the three-dimensional radial Coulomb system\ninto a three-dimensional radial isotropic oscillator where one of the two\nsystems has an analytical quantum defect. The issue of mapping the continuum\nstates is briefly considered.",
    "arxiv_id": "quant-ph/9602007",
    "authors": [
      "Alan Kostelecky",
      "Neil Russell"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.531504",
    "journal_ref": "J.Math.Phys.37:2166-2181,1996",
    "title": "Radial Coulomb and Oscillator Systems in Arbitrary Dimensions",
    "url": "https://arxiv.org/abs/quant-ph/9602007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd523d79-2999-4d84-b078-8c7a748bd868",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}