{
  "annotation_id": "df18d2b0-f24a-4a43-8323-ed37a2d14f8c",
  "date_created": "2026-03-02T18:01:58.992000Z",
  "date_modified": "2026-03-02T18:01:58.992000Z",
  "file_hash": "ea2e2322670d2092c93b848569809be519bc2164e854d6c61ec89662f312f821",
  "private": false,
  "record": {
    "abstract": "By using a simple procedure the general solution of the time-independent\nradial Schrodinger Equation for spherical symmetric potentials was made without\nmaking any approximation. The wave functions are always periodic. It appears\ntwo diffucilties: one of them is the solution of the equation E= U(r), where E\nand U(r) are the total an effective potential energies, respectively, and the\nother is the calculation of the integral of the square root of U(r). If\nanalytical calculations are not possible, one must apply numerical methods. To\nfind the energy wave function of the ground state, there is no need for the\ncalculation of this integral, it is sufficient to find the classical turning\npoints, that is to solve the equation E=U(r).",
    "arxiv_id": "quant-ph/0305160",
    "authors": [
      "H. H. Erbil"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A Simple General Solution of the Radial Schrodinger Equation for   Spherically Symmetric Potentials",
    "url": "https://arxiv.org/abs/quant-ph/0305160"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f1ec64d-b131-4134-acc4-e7da15667345",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}