{
  "annotation_id": "e3382dee-a950-4e60-9ec8-2da109b2d64f",
  "date_created": "2026-03-02T18:02:40.987000Z",
  "date_modified": "2026-03-02T18:02:40.987000Z",
  "file_hash": "f592b63b23134b0aecb0d5866a54ff45b2da01e3cfd8a0e162c159697975a137",
  "private": false,
  "record": {
    "abstract": "Hamiltonians of a wide-spread class of strongly coupled quantum system models\nare expressed as nonlinear functions of $sl(2)$ generators. It enables us to\nuse the $sl(2)$ formalism, in particular, $sl(2)$ generalized coherent states\n(GCS) for solving both spectral and evolution tasks. In such a manner, using\nstandard variational schemes with $sl(2)$ GCS as trial functions we find new\nanalytical expressions for energy spectra and non-linear evolution equations\nfor cluster dynamics variables in mean-field approximations which are beyond\nquasi-harmonic ones obtained earlier. General results are illustrated on\ncertain concrete models of quantum optics and laser physics.",
    "arxiv_id": "quant-ph/9710012",
    "authors": [
      "Valery P. Karassiov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A Nonlinear $sl(2)$ Dynamics and New Quasiclassical Solutions for a   Class of Quantum Coupled Systems",
    "url": "https://arxiv.org/abs/quant-ph/9710012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "77f2f89f-cd5f-4152-9ee8-b68e81cbb44f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}