{
  "annotation_id": "dd8fd616-7884-4836-bcca-3dfef832dc11",
  "date_created": "2026-03-02T18:02:48.354000Z",
  "date_modified": "2026-03-02T18:02:48.354000Z",
  "file_hash": "9252372c1f052281e03f52415d73426b2d5839b971922aa8cb43bde0f3f80d9a",
  "private": false,
  "record": {
    "abstract": "We present, for the isospectral family of oscillator Hamiltonians, a\nsystematic procedure for constructing raising and lowering operators satisfying\nany prescribed `distorted\u0027 Heisenberg algebra (including the\n$q$-generalization). This is done by means of an operator transformation\nimplemented by a shift operator. The latter is obtained by solving an\nappropriate partial isometry condition in the Hilbert space. Formal\nrepresentations of the non-local operators concerned are given in terms of\npseudo-differential operators. Using the new annihilation operators, new\nclasses of coherent states are constructed for isospectral oscillator\nHamiltonians. The corresponding Fock-Bargmann representations are also\nconsidered, with specific reference to the order of the entire function family\nin each case.",
    "arxiv_id": "quant-ph/9905100",
    "authors": [
      "S. Seshadri",
      "V. Balakrishnan",
      "S. Lakshmibala"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.532355",
    "journal_ref": "J.Math.Phys. 39 (1998) 838-847",
    "title": "Ladder operators for isospectral oscillators",
    "url": "https://arxiv.org/abs/quant-ph/9905100"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f211ad5b-d75a-4a66-afe4-828dd4970761",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}