{
  "annotation_id": "a8c41a9b-9602-4d98-bb36-b80e387d9e93",
  "date_created": "2026-03-02T18:02:09.945000Z",
  "date_modified": "2026-03-02T18:02:09.945000Z",
  "file_hash": "94606157cdd656cb6c4a894f69fd6d521bf8cf8c21ebe508984cea418f42ba15",
  "private": false,
  "record": {
    "abstract": "In the spirit of some earlier work on the construction of vector coherent\nstates over matrix domains, we compute here such states associated to some\nphysical Hamiltonians. In particular, we construct vector coherent states of\nthe Gazeau-Klauder type. As a related problem, we also suggest a way to handle\ndegeneracies in the Hamiltonian for building coherent states. Specific physical\nHamiltonians studied include a single photon mode interacting with a pair of\nfermions, a Hamiltonian involving a single boson and a single fermion, a\ncharged particle in a three dimensional harmonic force field and the case of a\ntwo-dimensional electron placed in a constant magnetic field, orthogonal to the\nplane which contains the electron. In this last example, an interesting modular\nstructure emerges for two underlying von Neumann algebras, related to opposite\ndirections of the magnetic field. This leads to the existence of coherent\nstates built out of KMS states for the system.",
    "arxiv_id": "quant-ph/0410151",
    "authors": [
      "S. Twareque Ali",
      "F. Bagarello"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "physics.atom-ph"
    ],
    "doi": "10.1063/1.1901343",
    "journal_ref": "J.Math.Phys. 46 (2005) 053518",
    "title": "Some Physical Appearances of Vector Coherent States and CS Related to   Degenerate Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/0410151"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4e1f1ed4-1620-4d9f-96cf-af7f5889c6c3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}