{
  "annotation_id": "495305cf-360a-499f-a54a-37b99a8bf917",
  "date_created": "2026-03-02T18:02:13.580000Z",
  "date_modified": "2026-03-02T18:02:13.580000Z",
  "file_hash": "2a9979b37c0c4d470875f3496d2424488c0c6f7f752165f729e20577995a145d",
  "private": false,
  "record": {
    "abstract": "The investigation of the generalized coherent states for oscillator-like\nsystems connected with given family of orthogonal polynomials is continued. In\nthis work we consider oscillators connected with Meixner and Meixner-Pollaczek\npolynomials and define generalized coherent states for these oscillators. The\ncompleteness condition for these states is proved by the solution of the\nrelated classical moment problem. The results are compared with the other\nauthors ones. In particular, we show that the Hamiltonian of the relativistic\nmodel of linear harmonic oscillator can be thought of as the linearization of\nthe quadratic Hamiltonian which naturally arised in our formalism.",
    "arxiv_id": "quant-ph/0503091",
    "authors": [
      "V. V. Borzov",
      "E. V. Damaskinsky"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Zapski Nauchn. Semin. POMI, v.317, p.66, 2004",
    "title": "The generalized coherent states for oscillators, Connected with Meixner   and Meixner-Pollaczek polynomials % %",
    "url": "https://arxiv.org/abs/quant-ph/0503091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fec5f579-d087-4e95-a09d-080a7de93f9f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}