{
  "annotation_id": "bbc3d8f9-8d7d-40a7-b78f-9c981633b3a5",
  "date_created": "2026-03-02T18:01:42.643000Z",
  "date_modified": "2026-03-02T18:01:42.643000Z",
  "file_hash": "085c23d57090d8bdd95c74e0c38460a5486195e9adaebad6d1a5972dd8872ec2",
  "private": false,
  "record": {
    "abstract": "The eigenvalue problem for one-dimensional Schr\\\"{o}dinger equation with the\nrational potential is numerically solved by the operator method. We show that\nthe operator method, applied for solving the Schr\\\"{o}dinger equation with the\nnonpolynomial structure of the Hamiltonian, becomes more efficient if a\nnonunitary transformation of the Hamiltonian is used. We demonstrate on\nnumerous examples that this method can handle both perturbative and\nnonperturbative regimes with very high accuracy and moderate computational\ncost.",
    "arxiv_id": "quant-ph/0102031",
    "authors": [
      "Petr A. Khomyakov"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Doklady Akademii Nauk Belarusi 45(4), 49 (2001)",
    "title": "Operator method for solution of the Schr\\\"{o}dinger equation with the   rational potential",
    "url": "https://arxiv.org/abs/quant-ph/0102031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0c7dd325-76b9-4959-8762-ccaf17e2060b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}