{
  "annotation_id": "afcd744a-b140-4abd-9b5d-4a8d762c0781",
  "date_created": "2026-03-02T18:01:42.261000Z",
  "date_modified": "2026-03-02T18:01:42.261000Z",
  "file_hash": "e8db059c6b14f6e03fb1f78e38104a081da26339cdf7e2c08530b8a4c24a3f6a",
  "private": false,
  "record": {
    "abstract": "We present the general form of potentials with two given energy levels\n$E_{1}$, $E_{2}$ and find corresponding wave functions. These entities are\nexpressed in terms of one function $\\xi (x)$ and one parameter $\\Delta\nE=E_{2}$-$E_{1}$. We show how the quantum numbers of both levels depend on\nproperties of the function $\\xi (x)$. Our approach does not need resorting to\nthe technique of supersymmetric (SUSY) quantum mechanics but automatically\ngenerates both the potential and superpotential.",
    "arxiv_id": "quant-ph/0012151",
    "authors": [
      "S. N. Dolya",
      "O. B. Zaslavskii"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/34/10/303",
    "journal_ref": "J.Phys.A34:1981-1990,2001",
    "title": "General approach to potentials with two known levels",
    "url": "https://arxiv.org/abs/quant-ph/0012151"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7cdf8856-2d00-4ca7-97b4-f4caba06b0a3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}