{
  "annotation_id": "8f591324-b65e-45e8-987c-76157bec0f68",
  "date_created": "2026-03-02T18:00:01.362000Z",
  "date_modified": "2026-03-02T18:00:01.362000Z",
  "file_hash": "36428ff430104585199719031969b3c6fe2b53ed9fbb442c0459fde404e99c12",
  "private": false,
  "record": {
    "abstract": "Recently Pluhar and Weidenmueller [Ann. Phys. (N.Y.) Vol 297, 344 (2002)]\nshowed that the eigenvectors of the matrix of second moments of embedded\nGaussian unitary ensemble of random matrices generated by k-body interactions\n(EGUE(k)) for m fermions in N single particle states are SU(N) Wigner\ncoefficients and derived also an expression for the eigenvalues. Going beyond\nthis work, we will show that the eigenvalues of this matrix are square of a\nSU(N) Racah coefficient and thus the matrix of second moments of EGUE(k) is\nsolved completely by SU(N) Wigner-Racah algebra.",
    "arxiv_id": "nucl-th/0410069",
    "authors": [
      "V. K. B. Kota"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1063/1.1850179",
    "journal_ref": "J.Math.Phys. 46 (2005) 033514",
    "title": "SU(N) Wigner-Racah algebra for the matrix of second moments of embedded   Gaussian unitary ensemble of random matrices",
    "url": "https://arxiv.org/abs/nucl-th/0410069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a2a9d9e-80be-41f1-aa35-359e44c43bd1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}