{
  "annotation_id": "9c44cf13-d19f-4924-878c-e5ff662903e1",
  "date_created": "2026-03-02T18:01:38.971000Z",
  "date_modified": "2026-03-02T18:01:38.971000Z",
  "file_hash": "90f99f7bb78e6f8fe59c94cefbf36dfc603c9813de3e2ec2e1f88786c90c8b94",
  "private": false,
  "record": {
    "abstract": "We consider second order differential operators with coefficients which are\nGaussian random fields. When the covariance becomes singular at short distances\nthen the propagators of the Schr\\\"odinger equation as well as of the wave\nequation behave in an anomalous way. In particular, the Feynman propagator for\nthe wave equation is less singular than the one with deterministic\ncoefficients. We suggest some applications to quantum gravity.",
    "arxiv_id": "quant-ph/0009049",
    "authors": [
      "Z. Brzezniak",
      "Z. Haba"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum propagators in a random metric",
    "url": "https://arxiv.org/abs/quant-ph/0009049"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ab145fec-0990-4fbc-a689-01d57bd8420a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}