{
  "annotation_id": "b73417f9-4bed-442c-a713-dae6d1863c57",
  "date_created": "2026-03-02T18:02:20.690000Z",
  "date_modified": "2026-03-02T18:02:20.690000Z",
  "file_hash": "6e28ba717e7b5a5cc3c4ffc62a11cce08ad78fe7d24479646e26438812798b58",
  "private": false,
  "record": {
    "abstract": "The symplectic structure of quantum commutators is first unveiled and then\nexploited to introduce generalized non-Hamiltonian brackets in quantum\nmechanics. It is easily recognized that quantum-classical systems are described\nby a particular realization of such a bracket. In light of previous work, this\nintroduces a unified approach to classical and quantum-classical\nnon-Hamiltonian dynamics. In order to illustrate the use of non-Hamiltonian\ncommutators, it is shown how to define thermodynamic constraints in\nquantum-classical systems. In particular, quantum-classical Nos\\\u0027e-Hoover\nequations of motion and the associated stationary density matrix are derived.\nThe non-Hamiltonian commutators for both Nos\\\u0027e-Hoover chains and\nNos\\\u0027e-Andersen (constant-pressure constant temperature) dynamics are also\ngiven. Perspectives of the formalism are discussed.",
    "arxiv_id": "quant-ph/0511076",
    "authors": [
      "Alessandro Sergi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.72.066125",
    "title": "Non-Hamiltonian Commutators in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0511076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "beaa528d-af40-4deb-92ba-6177b6a6e014",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}