{
  "annotation_id": "8fa4259b-1a4c-4b4f-8be7-fc8f59871afb",
  "date_created": "2026-03-02T18:02:10.014000Z",
  "date_modified": "2026-03-02T18:02:10.014000Z",
  "file_hash": "8c852c83f891848ee812842a41ea57870be91883f303054ebab1e5b6bec7ff3a",
  "private": false,
  "record": {
    "abstract": "Using the Klauder approach the stable evolution of generalized coherent\nstates (GCS) for some groups (SU(2), SU(1,1) and SU(N)) is considered and it is\nshown that one and the same classical solution z(t) can correctly characterize\nthe quantum evolution of many different (in general nonequivalent) systems. As\nexamples some concrete systems are treated in greater detail: it is obtained\nthat the nonstationary systems of the singular oscillator, of the particle\nmotion in a magnetic field, and of the oscillator with friction all have stable\nSU(1,1) GCS whose quantum evolution is determined by one and the same classical\nfunction z(t). The physical properties of the constructed SU(1,1) GCS are\ndiscussed and it is shown particularly that in the case of discrete series\nD_k^+ they are those states for which the quantum mean values coincide with the\nstatistical ones for an oscillator in a thermostat.",
    "arxiv_id": "quant-ph/0407261",
    "authors": [
      "B. A. Nikolov",
      "D. A. Trifonov"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Commun. JINR E2-81-798 (Dubna, 1981)",
    "title": "On the Dynamics of Generalized Coherent States. II. Classical Equations   of Motions",
    "url": "https://arxiv.org/abs/quant-ph/0407261"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "24c2c24e-b0be-4bea-9c19-82077253d913",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}