{
  "annotation_id": "2cc27a27-58fb-44f6-b60a-fb38051c8b5a",
  "date_created": "2026-03-02T18:02:23.065000Z",
  "date_modified": "2026-03-02T18:02:23.065000Z",
  "file_hash": "c5ee25073a6adb8097b612c3ff9b20c62cf38bbcb72d95c51ab05a803bf1fb83",
  "private": false,
  "record": {
    "abstract": "A \"minimal\" generalization of Quantum Mechanics is proposed, where the\nLagrangian or the action functional is a mapping from the (classical) states of\na system to the Lie algebra of a general compact Lie group, and the wave\nfunction takes values in the corresponding group algebra. This formalism admits\na probability interpretation and a suitable dynamics, but has no obvious\nclassical correspondence. Allowing the Lagrangian or the action functional to\ntake values in a general Lie algebra instead of only the real number field\n(actually the u(1) algebra) enlarges the extent of possible physical laws that\ncan describe the real world. The generalized quantum dynamics of a point\nparticle in a background gauge field is given as an example, which realizes the\ngauge invariance by a Wilson line structure and shows that some\nSchrodinger-like equation can be deduced within this formalism. Some possible\ndevelopments of this formalism are also discussed.",
    "arxiv_id": "quant-ph/0512127",
    "authors": [
      "Yu Tian"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A Possible Generalization of Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0512127"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e34de14-47c9-4233-b017-43ba8f96a911",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}