{
  "annotation_id": "b8756fdc-58d4-455c-839e-852758bd555c",
  "date_created": "2026-03-02T18:01:52.233000Z",
  "date_modified": "2026-03-02T18:01:52.233000Z",
  "file_hash": "cc171902c7892c874134bcdc62e644b279aa8563dd841ba993f3b287561ee6d4",
  "private": false,
  "record": {
    "abstract": "The electron interaction energy of two interacting electrons in a circular\nquantum dot (with hard wall confinement) is investigated in the framework of\nthe semi-classical Wentzel-Kramers-Brillouin (WKB) approximation. The two\nelectrons are assumed to be in an infinitely deep well of radius $r_0$, in a\nsimple configuration with one electron fixed at the origin. The corresponding\nSchrodinger equation, with hard wall boundary conditions, is also solved\nexactly by numerical integration. It is observed that the agreement between the\ntwo energy values is quite good, suggesting that the WKB approximation works\nwell for such a confined quantum system as well. This may provide motivation to\nextend this to more realistic confined potentials.",
    "arxiv_id": "quant-ph/0205186",
    "authors": [
      "Anjana Sinha",
      "Y. P. Varshni"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Energy spectra of two electrons in a circular quantum dot",
    "url": "https://arxiv.org/abs/quant-ph/0205186"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8a0c18be-775c-4af7-a654-4c42f474b9f8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}