{
  "annotation_id": "1ac10876-0ee4-45a9-ba89-effe2e3eb7d7",
  "date_created": "2026-03-02T18:02:37.318000Z",
  "date_modified": "2026-03-02T18:02:37.318000Z",
  "file_hash": "f57caff55ba4958f3a69850b2c26683994bb2782dde6cc5ebed6453f537658e5",
  "private": false,
  "record": {
    "abstract": "The path decomposition expansion is a path integral technique for decomposing\nsums over paths in configuration space into sums over paths in different\nspatial regions. It leads to a decomposition of the configuration space\npropagator across arbitrary surfaces in configuration space. It may be used,\nfor example, in calculations of the distribution of first crossing times. The\noriginal proof relied heavily on the position representation and in particular\non the properties of path integrals. In this paper, an elementary proof of the\npath decomposition expansion is given using projection operators. This leads to\na version of the path decomposition expansion more general than the\nconfiguration space form previously given. The path decomposition expansion in\nmomentum space is given as an example.",
    "arxiv_id": "quant-ph/9506021",
    "authors": [
      "J. J. Halliwell"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/0375-9601(95)00703-6",
    "journal_ref": "Phys. Lett. A207:237-242,1995",
    "title": "An Operator Derivation of the Path Decomposition Expansion",
    "url": "https://arxiv.org/abs/quant-ph/9506021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bdd1cd34-a9c8-4bcf-89d9-73dcbfba89ac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}