{
  "annotation_id": "7571f9cb-d432-45cc-9acd-ab920b1e3aa7",
  "date_created": "2026-03-02T18:01:38.353000Z",
  "date_modified": "2026-03-02T18:01:38.353000Z",
  "file_hash": "9a28eeaf780113807b36e7814de33296fe7e35a4f463e5a1f174f58cbd2174a3",
  "private": false,
  "record": {
    "abstract": "Motivated by application to quantum physics, anticommuting analogues of\nWiener measure and Brownian motion are constructed. The corresponding Ito\nintegrals are defined and the existence and uniqueness of solutions to a class\nof stochastic differential equations is established. This machinery is used to\nprovide a Feynman-Kac formula for a class of Hamiltonians. Several specific\nexamples are considered.",
    "arxiv_id": "quant-ph/0008081",
    "authors": [
      "Steven Leppard",
      "Alice Rogers"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/3/315",
    "title": "A Feynman-Kac Formula for Anticommuting Brownian Motion",
    "url": "https://arxiv.org/abs/quant-ph/0008081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9b74f549-e667-4c3b-a725-8f844072bc6b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}