{
  "annotation_id": "5f3ec7e1-fcd9-4052-8dea-b15338095d41",
  "date_created": "2026-03-02T18:01:56.444000Z",
  "date_modified": "2026-03-02T18:01:56.444000Z",
  "file_hash": "e07975f03b0f8b4f4531957ac7172445998d1e571a0fa7d7e479e3bb423b216c",
  "private": false,
  "record": {
    "abstract": "Quantisation on spaces with properties of curvature, multiple connectedness\nand non orientablility is obtained.\n  The geodesic length spectrum for the Laplacian operator is extended to solve\nthe Schroedinger operator. Homotopy fundamental group representations are used\nto obtain a direct sum of Hilbert spaces, with a Holonomy method for the non\nsimply connected manifolds.The covering spaces of isometric and hence\nisospectral manifolds are used to obtain the representation of states on\norientable and non orientable spaces. Problems of deformations of the operators\nand the domains are discussed.Possible applications of the geometric and\ntopological effects in physics are mentioned.",
    "arxiv_id": "quant-ph/0211039",
    "authors": [
      "Ajay Patwardhan"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "title": "Quantisation on general spaces",
    "url": "https://arxiv.org/abs/quant-ph/0211039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "42e5e71e-bd07-413d-b6df-63e31d3b15e2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}