{
  "annotation_id": "7d867878-f888-4d16-8d5c-afef2a3ac305",
  "date_created": "2026-03-02T18:02:41.533000Z",
  "date_modified": "2026-03-02T18:02:41.533000Z",
  "file_hash": "3a06c76749dbf6548e3134d2773ee048c4e464d6fc5c657655358c2562714676",
  "private": false,
  "record": {
    "abstract": "We study a perturbed Floquet Hamiltonian $K+\\beta V$ depending on a coupling\nconstant $\\beta$. The spectrum $\\sigma(K)$ is assumed to be pure point and\ndense. We pick up an eigen-value, namely $0\\in\\sigma(K)$, and show the\nexistence of a function $\\lambda(\\beta)$ defined on $I\\subset\\R$ such that\n$\\lambda(\\beta) \\in \\sigma(K+\\beta V)$ for all $\\beta\\in I$, 0 is a point of\ndensity for the set $I$, and the Rayleigh-Schr\\\"odinger perturbation series\nrepresents an asymptotic series for the function $\\lambda(\\beta)$. All ideas\nare developed and demonstrated when treating an explicit example but some of\nthem are expected to have an essentially wider range of application.",
    "arxiv_id": "quant-ph/9702052",
    "authors": [
      "P. Duclos",
      "P. Stovicek",
      "M. Vittot"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/30/20/018",
    "journal_ref": "J.Phys.A30:7167-7185,1997",
    "title": "Perturbation of an Eigen-Value from a Dense Point Spectrum : An Example",
    "url": "https://arxiv.org/abs/quant-ph/9702052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bbeb3eb7-f4b6-49b5-a2c9-ad2d69180af4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}