{
  "annotation_id": "39b6ab72-72cc-439b-a052-f049966b2c1c",
  "date_created": "2026-03-02T18:02:45.036000Z",
  "date_modified": "2026-03-02T18:02:45.036000Z",
  "file_hash": "6a99fe686e0927c85515019bfae77d361782c22f9bc2a42b623084c318c76424",
  "private": false,
  "record": {
    "abstract": "The path integral for a point particle in a Coulomb potential is solved in\nmomentum space. The solution permits us to give for the first time a negative\nanswer to an old question of quantum mechanics in curved spaces raised in 1957\nby DeWitt, whether the Hamiltonian of a particle in a curved space contains an\nadditional term proportional to the curvature scalar $R$. We show that this\nwould cause experimentally wrong level spacings in the hydrogen atom. Our\nsolution also gives a first experimental confirmation of the correctness of the\nmeasure of integration in path integrals in curved space implied by a recently\ndiscovered nonholonomic mapping principle.",
    "arxiv_id": "quant-ph/9807073",
    "authors": [
      "Hagen Kleinert"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(99)00018-3",
    "journal_ref": "Phys.Lett. A252 (1999) 277-280",
    "title": "Solution of Coulomb Path Integral in Momentum Space",
    "url": "https://arxiv.org/abs/quant-ph/9807073"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f96b5473-e2e6-4cec-bd4b-df32433ea233",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}