{
  "annotation_id": "a84d24a1-f76c-436c-bb2b-bec571a7cbce",
  "date_created": "2026-03-02T18:02:20.429000Z",
  "date_modified": "2026-03-02T18:02:20.429000Z",
  "file_hash": "80412bf80ceac08badd072995dbeb1d3ce2f191c1939e41d24950b461ddc3540",
  "private": false,
  "record": {
    "abstract": "The statistical mechanics of quantum-classical systems with holonomic\nconstraints is formulated rigorously by unifying the classical Dirac bracket\nand the quantum-classical bracket in matrix form.\n  The resulting Dirac quantum-classical theory, which conserves the holonomic\nconstraints exactly, is then used to formulate time evolution and statistical\nmechanics. The correct momentum-jump approximation for constrained system\narises naturally from this formalism. Finally, in analogy with what was found\nin the classical case, it is shown that the rigorous linear response function\nof constrained quantum-classical systems contains non-trivial additional terms\nwhich are absent in the response of unconstrained systems.",
    "arxiv_id": "quant-ph/0511142",
    "authors": [
      "Alessandro Sergi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2159477",
    "title": "Statistical Mechanics of Quantum-Classical Systems with Holonomic   Constraints",
    "url": "https://arxiv.org/abs/quant-ph/0511142"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2f90f7fd-900f-4864-8006-20904f22a114",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}