{
  "annotation_id": "60409240-4637-4bc7-a636-b40841ff6d04",
  "date_created": "2026-03-02T18:01:42.180000Z",
  "date_modified": "2026-03-02T18:01:42.180000Z",
  "file_hash": "8b1fe5aa812cd5dc902f5e1038f74fe177a065399292a8ceb119f8658b6e2d18",
  "private": false,
  "record": {
    "abstract": "The classical limit of wave quantum mechanics is analyzed. It is shown that\nthe general requirements of continuity and finiteness to the solution\n$\\psi(x)=Ae^{i\\phi(x)}+ Be^{-i\\phi(x)}$, where $\\phi(x)=\\frac 1\\hbar W(x)$ and\n$W(x)$ is the reduced classical action of the physical system, result in the\nasymptote of the exact solution and general quantization condition for $W(x)$,\nwhich yields the exact eigenvalues of the system.",
    "arxiv_id": "quant-ph/0010084",
    "authors": [
      "M. N. Sergeenko"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217751X03015805",
    "journal_ref": "Int. J. Mod. Phys. A,18 (2003) 1",
    "title": "Classical solution of the wave equation",
    "url": "https://arxiv.org/abs/quant-ph/0010084"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd34fe5e-9188-47d3-88d2-6522f32ac1ce",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}