{
  "annotation_id": "2ffe8f9c-20c1-4dcb-a898-86c2f84579f4",
  "date_created": "2026-03-02T18:02:13.454000Z",
  "date_modified": "2026-03-02T18:02:13.454000Z",
  "file_hash": "acda3c5e5ba6a5618cbbff93bcb81c927d0f2294637340b9bb1a6227a86ff4e7",
  "private": false,
  "record": {
    "abstract": "We investigate two methods of constructing a solution of the Schr\\\"{o}dinger\nequation from the canonical transformation in classical mechanics. One method\nshows that we can formulate the solution of the Schr\\\"{o}dinger equation from\nlinear canonical transformations, the other focuses on the generating function\nwhich satisfies the Hamilton-Jacobi equation in classical mechanics. We also\nshow that these two methods lead to the same solution of the Schr\\\"{o}dinger\nequation.",
    "arxiv_id": "quant-ph/0410173",
    "authors": [
      "Akihiro Ogura",
      "Motoo Sekiguchi"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Linear Canonical Transformations and the Hamilton-Jacobi Theory in   Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0410173"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "83129b2e-fac4-4b9d-8674-9ddb20f3cfcc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}