{
  "annotation_id": "b5621eb6-63e5-4989-aae7-d3b6423fb083",
  "date_created": "2026-03-02T18:02:13.627000Z",
  "date_modified": "2026-03-02T18:02:13.627000Z",
  "file_hash": "abb8ea99157aaa6bfc2b06bd060f77fef23c01d6a017bac99364220214fb1018",
  "private": false,
  "record": {
    "abstract": "The properties of SU(1,1) SU(2),SU(2,1) and SU(3) have often been used in\nquantum optics. In this paper we demonstrate the use of these symmetries. The\ngroup properties of SU(1,1) SU(2), and SU(2,1) are used to find the transition\nprobabilities of various time dependent quadratic Hamiltonians. We consider\nHamiltonians representing the frequency converter,parametric amplifier and\nraman scattering.These Hamiltonians are used to describe optical coupling in\nnonlinear crystals.",
    "arxiv_id": "quant-ph/0412211",
    "authors": [
      "Paul Croxson"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Time Dependent Quadratic Hamiltonians,SU(1,1), SU(2), SU(2,1) and SU(3)",
    "url": "https://arxiv.org/abs/quant-ph/0412211"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8792ba12-9267-4f9b-aad2-7f12629aebca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}