{
  "annotation_id": "e00d0310-5597-4500-8fd2-a9a4bffdf3ed",
  "date_created": "2026-03-02T18:02:33.708000Z",
  "date_modified": "2026-03-02T18:02:33.708000Z",
  "file_hash": "79ada62b46f8b6da891246205657eb09dd8c27ed1ad5ab1f2f33b991ff0a714a",
  "private": false,
  "record": {
    "abstract": "Utilizing an appropriate ansatz to the wave function, we reproduce the exact\nbound-state solutions of the radial Schrodinger equation to various exactly\nsolvable sextic anharmonic oscillator and confining perturbed Coulomb models in\n$D$-dimensions. We show that the perturbed Coulomb problem with eigenvalue $E$\ncan be transformed to a sextic anharmonic oscillator problem with eigenvalue E.\nWe also check the explicit relevance of these two related problems in\nhigher-space dimensions. It is shown that exact solutions of these potentials\nexist when their coupling parameters with $k=D+2\\ell $ appearing in the wave\nequation satisfy certain constraints.",
    "arxiv_id": "quant-ph/0702235",
    "authors": [
      "Sameer M. Ikhdair"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0129183107011583",
    "journal_ref": "Int. J. Mod. Phys. C 18, 1571(2007)",
    "title": "An alternative simple solution of the sextic anharmonic oscillator and   perturbed Coulomb problems",
    "url": "https://arxiv.org/abs/quant-ph/0702235"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "db13673c-d614-42e2-adad-effd912d6339",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}