{
  "annotation_id": "e35963f9-eeac-48b6-91f4-ffd413f02a19",
  "date_created": "2026-03-02T18:01:49.553000Z",
  "date_modified": "2026-03-02T18:01:49.553000Z",
  "file_hash": "731fbe6e2675f0b8aab16e61bb8a5682cd15d4afe94b7e5574fda6784880c8ca",
  "private": false,
  "record": {
    "abstract": "The semiclassical quantization rule is derived for a system with a\nspherically symmetric potential $V(r) \\sim r^{\\nu}$ $(-2\u003c\\nu \u003c\\infty)$ and an\nAharonov-Bohm magnetic flux. Numerical results are presented and compared with\nknown results for models with $\\nu = -1,0,2,\\infty$. It is shown that the\nresults provided by our method are in good agreement with previous results. One\nexpects that the semiclassical quantization rule shown in this paper will\nprovide a good approximation for all principle quantum number even the rule is\nderived in the large principal quantum number limit $n \\gg 1$. We also discuss\nthe power parameter $\\nu $ dependence of the energy spectra pattern in this\npaper.",
    "arxiv_id": "quant-ph/0112174",
    "authors": [
      "W. F. Kao",
      "P. G. Luan",
      "D. H. Lin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.052108",
    "title": "Semiclassical Quantization for the Spherically Symmetric Systems under   an Aharonov-Bohm magnetic flux",
    "url": "https://arxiv.org/abs/quant-ph/0112174"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "60b635b5-6431-4de3-b175-46cb09990d54",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}