{
  "annotation_id": "5df2e558-3742-492a-9166-f57481abd4bb",
  "date_created": "2026-03-02T18:02:13.461000Z",
  "date_modified": "2026-03-02T18:02:13.461000Z",
  "file_hash": "20e61aa237c259501f30a98202b27fe8b4f9143b439815a7cfc742467fbdea17",
  "private": false,
  "record": {
    "abstract": "Using the {\\it analytic representation} of the so-called Gazeau-Klauder\ncoherent states(CSs), we shall demonstrate that how a new class of generalized\nCSs namely the {\\it family of dual states} associated with theses states can be\nconstructed through viewing these states as {\\it temporally stable nonlinear\nCSs}. Also we find that the ladder operators, as well as the displacement type\noperator corresponding to these two pairs of generalized CSs, may be easily\nobtained using our formalism, without employing the {\\it supersymmetric quantum\nmechanics}(SUSYQM) techniques. Then, we have applied this method to some\nphysical systems with known spectrum, such as P\\\"{o}schl-Teller, infinite well,\nMorse potential and Hydrogen-like spectrum as some quantum mechanical systems.\nFinally, we propose the generalized form of Gazeau-Klauder CS and the\ncorresponding dual family.",
    "arxiv_id": "quant-ph/0411094",
    "authors": [
      "R. Roknizadeh",
      "M. K. Tavassoly"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1861276",
    "journal_ref": "J. Math. Phys. 46, 042110 (2005)",
    "title": "The Construction of the Dual Family of Gazeau-Klauder Coherent States   via Temporally Stable Nonlinear Coherent States",
    "url": "https://arxiv.org/abs/quant-ph/0411094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "123fcb84-cc3a-4d72-9683-e30efa372258",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}