{
  "annotation_id": "a8ef7165-b141-4752-9744-068076a84676",
  "date_created": "2026-03-02T18:02:33.506000Z",
  "date_modified": "2026-03-02T18:02:33.506000Z",
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  "record": {
    "abstract": "A quantum microcanonical postulate is proposed as a basis for the equilibrium\nproperties of small quantum systems. Expressions for the corresponding density\nof states are derived, and are used to establish the existence of phase\ntransitions for finite quantum systems. A grand microcanonical ensemble is\nintroduced, which can be used to obtain new rigorous results in quantum\nstatistical mechanics.",
    "arxiv_id": "quant-ph/0612120",
    "authors": [
      "Dorje C. Brody",
      "Daniel W. Hook",
      "Lane P. Hughston"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1742-6596/67/1/012025",
    "journal_ref": "Journal of Physics: Conf. Ser. 67 (2007) 012025",
    "title": "On quantum microcanonical equilibrium",
    "url": "https://arxiv.org/abs/quant-ph/0612120"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ceb6c178-0b3c-4314-b6df-640db03feace",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}