{
  "annotation_id": "a350320a-2b7d-4ab1-adc0-b91a8530ad0a",
  "date_created": "2026-03-02T18:02:20.413000Z",
  "date_modified": "2026-03-02T18:02:20.413000Z",
  "file_hash": "a5a71b8783dafa47a61516c665bfa95f90079a7213a7f7fbd37445b9fd743da1",
  "private": false,
  "record": {
    "abstract": "This letter examines the consequences of a recently proposed modification of\nthe postulate of equal {\\it a priori} probability in quantum statistical\nmechanics. This modification, called the {\\it quantum microcanonical postulate}\n(QMP), asserts that for a system in microcanonical equilibrium all pure quantum\nstates having the same energy expectation value are realised with equal\nprobability. A simple model of a quantum system that obeys the QMP and that has\na nondegenerate spectrum with equally spaced energy eigenvalues is studied.\nThis model admits a closed-form expression for the density of states in terms\nof the energy eigenvalues. It is shown that in the limit as the number of\nenergy levels approaches infinity, the expression for the density of states\nconverges to a $\\delta$ function centred at the intermediate value $(E_{\\rm\nmax}+E_{\\rm min})/ 2$ of the energy. Determining this limit requires an\nelaborate asymptotic study of an infinite sum whose terms alternate in sign.",
    "arxiv_id": "quant-ph/0508004",
    "authors": [
      "Carl M Bender",
      "Dorje C Brody",
      "Daniel W Hook"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/38/L01",
    "journal_ref": "Journal of Physics A38, L607-L613 (2005)",
    "title": "Solvable model of quantum microcanonical states",
    "url": "https://arxiv.org/abs/quant-ph/0508004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cb9a01a5-ef58-4996-b602-dc0e35c2e328",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}