{
  "annotation_id": "eead3dee-725a-4328-8b3d-a4380c5d5776",
  "date_created": "2026-03-02T18:02:16.674000Z",
  "date_modified": "2026-03-02T18:02:16.674000Z",
  "file_hash": "e853c70063decc60602d57b9987d1348fd3156afa4a40425b47725ea9c16ef0a",
  "private": false,
  "record": {
    "abstract": "We consider solutions of the 2x2 matrix Hamiltonians of the physical systems\nwithin the context of the su(2) and su(1,1) Lie algebra. Our technique is\nrelatively simple when compared with the others and treats those Hamiltonians\nwhich can be treated in a unified framework of the $% Sp(4,R)$ algebra. The\nsystematic study presented here reproduces a number of earlier results in a\nnatural way as well as leads to a novel findings. Possible generalizations of\nthe method are also suggested.",
    "arxiv_id": "quant-ph/0505106",
    "authors": [
      "Ramazan Koc",
      "Hayriye Tutunculer",
      "Mehmet Koca",
      "Eser Olgar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.aop.2005.04.007",
    "journal_ref": "Annals of Phys. 319 (2005) 333-347",
    "title": "Algebraic treatments of the problems of the spin-1/2 particles in the   one and two-dimensional geometry: a systematic study",
    "url": "https://arxiv.org/abs/quant-ph/0505106"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5b266bb7-7c72-42c2-be09-c38e4d384405",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}