{
  "annotation_id": "60948919-09f4-4841-b810-7bdffa5560cd",
  "date_created": "2026-03-02T18:02:09.889000Z",
  "date_modified": "2026-03-02T18:02:09.889000Z",
  "file_hash": "3613a5c1cb929c943a2540e08d4abad38714047f9f783fa95bceb0eba554dc08",
  "private": false,
  "record": {
    "abstract": "In this work, we follow the idea of the De Broglie\u0027s matter waves and the\nanalogous method that Schr\\\"{o}dinger founded wave equation, but we apply the\nmore essential Hamilton principle instead of the minimum action principle of\nJacobi which was used in setting up Schr\\\"{o}dinger wave equation. Thus, we\nobtain a novel non-relativistic wave equation which is different from the\nSchr\\\"{o}dinger equation, and relativistic wave equation including free and\nnon-free particle. In addition, we get the spin 1/2 particle wave equation in\npotential field.",
    "arxiv_id": "quant-ph/0409176",
    "authors": [
      "Xiangyao Wu",
      "Wei Han",
      "Gui-Song Wu",
      "Xiao-Bo Zhang",
      "Bingxin Zhang"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The improvement wave equations of relativistic and non-relativistic   quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0409176"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea1749ca-f9b6-477d-9131-b244d70c7727",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}