{
  "annotation_id": "561ea527-9f8b-4b94-af57-6ba2c5d2b8d5",
  "date_created": "2026-03-02T18:02:44.975000Z",
  "date_modified": "2026-03-02T18:02:44.975000Z",
  "file_hash": "f0c70bbabd9390add5bb33e474d1131422117d899185035068f485a342ec9d2c",
  "private": false,
  "record": {
    "abstract": "Making use of an ${\\it ansatz}$ for the eigenfunctions, we obtain an exact\nclosed form solution to the non-relativistic Schr\\\"{o}dinger equation with the\nanharmonic potential, $V(r)=a r^2+b r^{-4}+c r^{-6}$ in two dimensions, where\nthe parameters of the potential $a, b, c$ satisfy some constraints.",
    "arxiv_id": "quant-ph/9810056",
    "authors": [
      "Shi-Hai Dong",
      "Zhong-Qi Ma"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/31/49/009",
    "title": "Exact Solutions to the Schr\\\"{o}dinger Equation for the potential   $V(r)=a r^2+b r^{-4}+c r^{-6}$ in 2D",
    "url": "https://arxiv.org/abs/quant-ph/9810056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eb64f0aa-ae12-4caf-a1fd-f331d79db414",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}