{
  "annotation_id": "3cd24bf5-1a18-43a0-aadd-cd6e5507f5a7",
  "date_created": "2026-03-02T18:02:37.286000Z",
  "date_modified": "2026-03-02T18:02:37.286000Z",
  "file_hash": "3dd3f239e5826f69fdb9d90a3906f5fa82d9ec1bb3e2e6da516f43f7a6d258bb",
  "private": false,
  "record": {
    "abstract": "The pseudo--spectral decomposition of an $N$--particle antisymmetric 1--body\npositive--semidefinite operator that corresponds to the canonical convex\ndecomposition into the extreme elements of the dual cone of the set of fermion\n$N$--representable $1$--density operators has been derived. An attempt at\nconstucting a mathematical model for collective behaviour of a system of\n$N$--fermions that originates from the pseudo--spectral decomposition is\npresented.",
    "arxiv_id": "quant-ph/9504011",
    "authors": [
      "Hubert Grudzinski"
    ],
    "categories": [
      "quant-ph",
      "supr-con"
    ],
    "doi": "10.1016/0034-4877(96)89765-5",
    "title": "The N-representability problem, the pseudo-spectral decomposition of   antisymmetric 1-body operators, and collective behaviour",
    "url": "https://arxiv.org/abs/quant-ph/9504011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0abe97bf-8ec1-4369-96a9-2964f74dea91",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}