{
  "annotation_id": "4cc00222-3420-445b-bae9-aa5f9c3125e8",
  "date_created": "2026-03-02T18:01:25.439000Z",
  "date_modified": "2026-03-02T18:01:25.439000Z",
  "file_hash": "7f9c3dfe8332c689e6b58174e559155c52f7f516bad53238994d7000560c23fb",
  "private": false,
  "record": {
    "abstract": "We provide a systematic derivation of the scaling behaviour of various\nquantities and establish in particular the scale invariance of the ionization\nprobability. We discuss the gauge invariance of the scaling properties and the\nmanner in which they can be exploited as consistency check in explicit\nanalytical expressions, in perturbation theory, in the Kramers-Henneberger and\nFloquet approximation, in upper and lower bound estimates and fully numerical\nsolutions of the time dependent Schroedinger equation. The scaling invariance\nleads to a differential equation which has to be satisfied by the ionization\nprobability and which yields an alternative criterium for the existence of\natomic bound state stabilization.",
    "arxiv_id": "physics/9911046",
    "authors": [
      "C. Figueira de Morisson Faria",
      "A. Fring",
      "R. Schrader"
    ],
    "categories": [
      "physics.atom-ph",
      "quant-ph"
    ],
    "doi": "10.1088/0953-4075/33/8/316",
    "journal_ref": "Jour. of Physics B33 2000 1675",
    "title": "Existence criteria for stabilization from the scaling behaviour of   ionization probabilities",
    "url": "https://arxiv.org/abs/physics/9911046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7f538a0f-e182-4fcb-8ed7-de27eba26552",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}