{
  "annotation_id": "a6dec8c6-108e-487e-aa2f-ad6b08122045",
  "date_created": "2026-03-02T18:01:49.091000Z",
  "date_modified": "2026-03-02T18:01:49.091000Z",
  "file_hash": "73519bdbe62726ccff763d51cbfb786c741ea02dc322f5be3262f5de8a2dee99",
  "private": false,
  "record": {
    "abstract": "We show that the Riccati form of the Schrodinger equation can be reformulated\nin terms of two linear equations depending on an arbitrary function G. When $G$\nand the potential are polynomials, the solutions of these two equations are\nentire functions (L and K) and the zeroes of K are identical to those of the\nwave function. Requiring such a zero at a large but finite value of the\nargument yields the low energy eigenstates with exponentially small errors.\nJudicious choice of G can improve dramatically the numerical treatment. The\nmethod yields many significant digits with modest computer means.",
    "arxiv_id": "quant-ph/0202047",
    "authors": [
      "Y. Meurice"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "doi": "10.1088/0305-4470/35/41/314",
    "journal_ref": "J.Phys.A35:8831-8846,2002",
    "title": "Arbitrarily Accurate Eigenvalues for General Anharmonic Potentials",
    "url": "https://arxiv.org/abs/quant-ph/0202047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e1d330fd-4180-422c-bbc4-84183a5a5f8b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}