{
  "annotation_id": "99e26db9-3ba4-4dc0-a8ca-b8ccd290807a",
  "date_created": "2026-03-02T18:00:25.195000Z",
  "date_modified": "2026-03-02T18:00:25.195000Z",
  "file_hash": "14420653c1539097848a77772446b45abbc6572d999e37cde154c03ac080cc03",
  "private": false,
  "record": {
    "abstract": "It is shown that an operator can be defined in the abstract space of random\nmatrices ensembles whose matrix elements statistical distribution simulates the\nbehavior of the distribution found in real physical systems. It is found that\nthe key quantity that determines these distribution is the commutator of the\noperator with the Hamiltonian. Application to symmetry breaking in quantum\nmany-body systems is discussed.",
    "arxiv_id": "nucl-th/9907063",
    "authors": [
      "M. S. Hussein",
      "M. P. Pato"
    ],
    "categories": [
      "nucl-th"
    ],
    "title": "Distribution of matrix elements of random operators",
    "url": "https://arxiv.org/abs/nucl-th/9907063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8e3b6d4-329f-4184-8299-3cca66ffc37a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}