{
  "annotation_id": "74827d65-26cb-4829-8998-b7d64e014388",
  "date_created": "2026-03-02T18:02:47.944000Z",
  "date_modified": "2026-03-02T18:02:47.944000Z",
  "file_hash": "1ebd8f329b64bc5390149516bcade7c54029304fa275e03da13c7fa56d526a23",
  "private": false,
  "record": {
    "abstract": "We present a semiclassical study of level widths for a class of\none-dimensional potentials in the presence of an ohmic environment. Employing\nan expression for the dipole matrix element in terms of the Fourier transform\nof the classical path we obtain the level widths within the Golden rule\napproximation. It is found that for potentials with an asymptotic power-law\nbehavior, which may in addition be limited by an infinite wall, the width that\nan eigenstate of the isolated system acquires due to the coupling to the\nenvironment is proportional to its quantum number.",
    "arxiv_id": "quant-ph/9910121",
    "authors": [
      "Gert-Ludwig Ingold",
      "Rodolfo A. Jalabert",
      "Klaus Richter"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "physics.atom-ph"
    ],
    "doi": "10.1119/1.1288129",
    "journal_ref": "Am. J. Phys. 69, 201-206 (2001)",
    "title": "Semiclassical analysis of level widths for one-dimensional potentials",
    "url": "https://arxiv.org/abs/quant-ph/9910121"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd4d531f-7e58-4b30-b465-a4ecb2b8eca7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}