{
  "annotation_id": "13652da9-8461-497e-8634-0a7299411b21",
  "date_created": "2026-03-02T18:02:27.547000Z",
  "date_modified": "2026-03-02T18:02:27.547000Z",
  "file_hash": "c96e116f6e0ca44c4528256f750b83018152c4c66aeeb6120bce75b69a49f60b",
  "private": false,
  "record": {
    "abstract": "We show that it is possible to associate univocally with each given solution\nof the time-dependent Schroedinger equation a particular phase flow (\"quantum\nflow\") of a non-autonomous dynamical system. This fact allows us to introduce a\ndefinition of chaos in quantum dynamics (quantum chaos), which is based on the\nclassical theory of chaos in dynamical systems. In such a way we can introduce\nquantities which may be appelled \"Quantum Lyapunov Exponents\". Our approach\napplies to a non-relativistic quantum-mechanical system of n charged particles;\nin the present work numerical calculations are performed only for the hydrogen\natom. In the computation of the trajectories we first neglect the spin\ncontribution to chaos, then we consider the spin effects in quantum chaos. We\nshow how the quantum Lyapunov exponents can be evaluated and give several\nnumerical results which describe some properties found in the present approach.\nAlthough the system is very simple and the classical counterpart is regular,\nthe most non-stationary solutions of the corresponding Schroeodinger equation\nare \"chaotic\" according to our definition.",
    "arxiv_id": "quant-ph/0607133",
    "authors": [
      "P. Falsaperla",
      "G. Fonte",
      "G. Salesi"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Found. Phys. 32 (2002) 267",
    "title": "Quantum Lyapunov Exponents",
    "url": "https://arxiv.org/abs/quant-ph/0607133"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "00a7bde2-6e18-4f5a-b12c-b086e8d98ef3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}