{
  "annotation_id": "7b7a4af3-c0a8-4457-9565-02fa82f1059e",
  "date_created": "2026-03-02T18:02:00.141000Z",
  "date_modified": "2026-03-02T18:02:00.141000Z",
  "file_hash": "2f3e5cffb55b50383cb62435f5dfed5d2ba379e4a4407c1b9d92261dab8b1bbe",
  "private": false,
  "record": {
    "abstract": "We found a simple procedure for the solution of the time - independent\nSchrodinger equation in one dimension without making any approximation. The\nwave functions are always periodic. Two difficulties may be encountered: one is\nto solve the equation E=U(x), where E and U(x) are the total and potential\nenergies, respectively, and the other is to calculate the integral of the\nsquare root of U(x). If these calculations cannot be made analytically, it\nshould then be performed by numerical methods. To find the energy and the wave\nfunction of the ground state, there is no need to calculate this integral, it\nis sufficient to find the classical turning points, that is to solve the\nequation E=U(x).",
    "arxiv_id": "quant-ph/0305158",
    "authors": [
      "H. H. Erbil"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A Simple Solution of the Time-Independent Schrodinger Equation in One   Dimension",
    "url": "https://arxiv.org/abs/quant-ph/0305158"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a47edab5-2583-4f8d-844a-9e4e8729432d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}