{
  "annotation_id": "c3056c52-eb85-45cc-b254-a4d8e634b066",
  "date_created": "2026-03-02T18:02:10.043000Z",
  "date_modified": "2026-03-02T18:02:10.043000Z",
  "file_hash": "daeba91ff94fc56556c863f54337eab404841280c64035d297fbbd3763db805a",
  "private": false,
  "record": {
    "abstract": "We discover that the energy-integral of time-delay is an adiabatic invariant\nin quantum scattering theory and corresponds classically to the phase space\nvolume. The integral thus found provides a quantization condition for\nresonances, explaining a series of results recently found in non-relativistic\nand relativistic regimes. Further, a connection between statistical quantities\nlike quantal resonance-width and classical friction has been established with a\nclassically deterministic quantity, the stability exponent of an adiabatically\nperturbed periodic orbit. This relation can be employed to estimate the rate of\nenergy dissipation in finite quantum systems.",
    "arxiv_id": "quant-ph/0408169",
    "authors": [
      "Sudhir R. Jain"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2004.12.014",
    "title": "Resonances and adiabatic invariance in classical and quantum scattering   theory",
    "url": "https://arxiv.org/abs/quant-ph/0408169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f515ead8-3b6b-4fb5-b4eb-8721c4fe88fd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}