{
  "annotation_id": "b84bebda-bf26-4617-8a3d-add0b3497347",
  "date_created": "2026-03-02T18:01:45.568000Z",
  "date_modified": "2026-03-02T18:01:45.568000Z",
  "file_hash": "1429a972822c57b519250090dce4a268232af31621607f2cee058456dd654178",
  "private": false,
  "record": {
    "abstract": "A Hamilton-Jacobi formulation of the Lyapunov spectrum and KS entropy is\ndeveloped. It is numerically efficient and reveals a close relation between the\nKS invariant and the classical action. This formulation is extended to the\nquantum domain using the Madelung-Bohm orbits associated with the Schroedinger\nequation. The resulting quantum KS invariant for a given orbit equals the mean\ndecay rate of the probability density along the orbit, while its ensemble\naverage measures the mean growth rate of configuration-space information for\nthe quantum system.",
    "arxiv_id": "quant-ph/0107083",
    "authors": [
      "M. Hossein Partovi"
    ],
    "categories": [
      "quant-ph",
      "nlin.CD"
    ],
    "doi": "10.1103/PhysRevLett.89.144101",
    "journal_ref": "Phys. Rev. Lett. 89, 144101 (2002)",
    "title": "Hamilton-Jacobi Formulation of KS Entropy for Classical and Quantum   Dynamics",
    "url": "https://arxiv.org/abs/quant-ph/0107083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1024d5a2-8725-4431-a40f-6ee23163fb28",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}