{
  "annotation_id": "7753afd6-786b-48d7-94c0-3a00fea8d488",
  "date_created": "2026-03-02T18:02:37.046000Z",
  "date_modified": "2026-03-02T18:02:37.046000Z",
  "file_hash": "0ffb41af91fc90f269e52bc3aeb138fff0e62e25737a45ac347088024c0aa0f7",
  "private": false,
  "record": {
    "abstract": "We formulate a new quantum equivalence principle by which a path integral for\na particle in a general metric-affine space is obtained from that in a flat\nspace by a non-holonomic coordinate transformation. The new path integral is\nfree of the ambiguities of earlier proposals and the ensuing Schr\\\"odinger\nequation does not contain the often-found but physically false terms\nproportional to the scalar curvature. There is no more quantum ordering\nproblem. For a particle on the surface of a sphere in $D$ dimensions, the new\npath integral gives the correct energy $\\propto \\hat L^2$ where $\\hat L$ are\nthe generators of the rotation group in ${\\bf x}$-space. For the transformation\nof the Coulomb path integral to a harmonic oscillator, which passes at an\nintermediate stage a space with torsion, the new path integral renders the\ncorrect energy spectrum with no unwanted time-slicing corrections.",
    "arxiv_id": "quant-ph/9511020",
    "authors": [
      "H. Kleinert"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "in Proceedings of the XXV International Symposium Ahrenshoop on\n  Theory of Elementary Particles in Gosen/Germany 1991, ed. by H. J. Kaiser",
    "title": "Quantum Equivalence Principle for Path Integrals in Spaces with   Curvature and Torsion",
    "url": "https://arxiv.org/abs/quant-ph/9511020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "de2d28c0-4d97-48d6-bd8d-d9560e0532b6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}