{
  "annotation_id": "24a6f606-cee9-46f0-8bbe-6d8fcf68f86c",
  "date_created": "2026-03-02T18:01:45.470000Z",
  "date_modified": "2026-03-02T18:01:45.470000Z",
  "file_hash": "a9c170f82b907e179af71daddfc2d04f048d065b384aeb39e199ff0c427d2fd9",
  "private": false,
  "record": {
    "abstract": "Dynamical evolution is described as a parallel section on an infinite\ndimensional Hilbert bundle over the base manifold of all frames of reference.\nThe parallel section is defined by an operator-valued connection whose\ncomponents are the generators of the relativity group acting on the base\nmanifold. In the case of Galilean transformations we show that the property\nthat the curvature for the fundamental connection must be zero is just the\nHeisenberg equations of motion and the canonical commutation relation in\ngeometric language. We then consider linear and circular accelerating frames\nand show that pseudo-forces must appear naturally in the Hamiltonian.",
    "arxiv_id": "quant-ph/0105074",
    "authors": [
      "Pravabati Chingangbam",
      "Pankaj Sharan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.64.042107",
    "journal_ref": "Phys. Rev. A, 64 (2001) 042107",
    "title": "Pseudo-forces in quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0105074"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a641a31-50e1-4e13-a781-42ff9ee612b2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}