{
  "annotation_id": "e12f6cc5-0885-4f77-b995-32bd2e8b6b40",
  "date_created": "2026-03-02T18:01:42.189000Z",
  "date_modified": "2026-03-02T18:01:42.189000Z",
  "file_hash": "c2208fbb9d92762417b537b65508ecca1eb2d9012edf93d61204e6f39647f97c",
  "private": false,
  "record": {
    "abstract": "A variation to the usual formulation of Grassmann representation path\nintegrals is presented. Time-indexed anticommuting partners are introduced for\neach Grassmann coherent state variable and a general method for handling the\neffect of these introduced Grassmann partners is also developed. These\nGrassmann partners carry the nilpotency and anticommutivity of the Grassmann\ncoherent state variables into the propagator and allow the propagator to be\nwritten as a path integral. Two examples are introduced in which this variation\nis shown to yield exact results. In particular, exact results are\ndemonstratated for a spin-1/2 in a time-dependent magnetic field, and for a\nspin-boson system. The stationary path approximation is then shown to be exact\nfor each example.",
    "arxiv_id": "quant-ph/0104113",
    "authors": [
      "S. Shresta"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Discrete path integral for spin-1/2 in the Grassmannian representation",
    "url": "https://arxiv.org/abs/quant-ph/0104113"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eff6b110-4bd7-4459-804a-16d363197f70",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}