{
  "annotation_id": "2d3c72ca-aa52-4174-900f-7f609580c101",
  "date_created": "2026-03-02T18:01:53.115000Z",
  "date_modified": "2026-03-02T18:01:53.115000Z",
  "file_hash": "548773437e058f539d705265cbbc6aaef52741881af88d33e2ba8a4869036774",
  "private": false,
  "record": {
    "abstract": "Employing the currently discussed notion of pseudo-Hermiticity, we define a\npseudo-unitary group. Further, we develop a random matrix theory which is\ninvariant under such a group and call this ensemble of pseudo-Hermitian random\nmatrices as the pseudo-unitary ensemble. We obtain exact results for the\nnearest-neighbour level spacing distribution for (2 X 2) PT-symmetric\nHamiltonian matrices which has a novel form, s log (1/s) near zero spacing.\nThis shows a level repulsion in marked distinction with an algebraic form in\nthe Wigner surmise. We believe that this paves way for a description of varied\nphenomena in two-dimensional statistical mechanics, quantum chromodynamics, and\nso on.",
    "arxiv_id": "quant-ph/0209165",
    "authors": [
      "Zafar Ahmed",
      "Sudhir R. Jain"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.67.045106",
    "title": "Pseudo-unitary symmetry and the Gaussian pseudo-unitary ensemble of   random matrices",
    "url": "https://arxiv.org/abs/quant-ph/0209165"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a810fdcb-c84e-40f7-8f56-8447c6485521",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}