{
  "annotation_id": "98b07c6a-3718-4173-8e9c-121add198f8b",
  "date_created": "2026-03-02T18:02:37.236000Z",
  "date_modified": "2026-03-02T18:02:37.236000Z",
  "file_hash": "288322873336730f0e9e713c6985efaf4190477aa71cb08f04ed35514595b89e",
  "private": false,
  "record": {
    "abstract": "We introduce the concept of algebra eigenstates which are defined for an\narbitrary Lie group as eigenstates of elements of the corresponding complex Lie\nalgebra. We show that this concept unifies different definitions of coherent\nstates associated with a dynamical symmetry group. On the one hand, algebra\neigenstates include different sets of Perelomov\u0027s generalized coherent states.\nOn the other hand, intelligent states (which are squeezed states for a system\nof general symmetry) also form a subset of algebra eigenstates. We develop the\ngeneral formalism and apply it to the SU(2) and SU(1,1) simple Lie groups.\nComplete solutions to the general eigenvalue problem are found in the both\ncases, by a method that employs analytic representations of the algebra\neigenstates. This analytic method also enables us to obtain exact closed\nexpressions for quantum statistical properties of an arbitrary algebra\neigenstate. Important special cases such as standard coherent states and\nintelligent states are examined and relations between them are studied by using\ntheir analytic representations.",
    "arxiv_id": "quant-ph/9701003",
    "authors": [
      "C. Brif"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/BF02435763",
    "journal_ref": "Int.J.Theor.Phys.36:1651-1682,1997",
    "title": "SU(2) and SU(1,1) algebra eigenstates: A unified analytic approach to   coherent and intelligent states",
    "url": "https://arxiv.org/abs/quant-ph/9701003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9587092c-a99f-4f85-897d-b40114ebe619",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}