{
  "annotation_id": "a6242b50-5bb3-4d3f-8c31-be5f175d9a58",
  "date_created": "2026-03-02T18:02:40.986000Z",
  "date_modified": "2026-03-02T18:02:40.986000Z",
  "file_hash": "df8878621a4eaccd7a496d5c7eac21c2713e969bb737bd8a9741f54659d4dd01",
  "private": false,
  "record": {
    "abstract": "Coordinate atypical representation of the orthosymplectic superalgebra\nosp(2/2) in a Hilbert superspace of square integrable functions constructed in\na special way is given. The quantum nonrelativistic free particle Hamiltonian\nis an element of this superalgebra which turns out to be a dynamical\nsuperalgebra for this system. The supercoherent states, defined by means of a\nsupergroup displacement operator, are explicitly constructed. These are the\ncoordinate representation of the known atypical abstract super group $OSp(2/2)$\ncoherent states. We interpret obtained results from the classical mechanics\nviewpoint as a model of classical particle which is immovable in the even\nsector of the phase superspace and is in rectilinear movement (in the\nappropriate coordinate system) in its odd sector.",
    "arxiv_id": "quant-ph/9709041",
    "authors": [
      "Boris F. Samsonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.532139",
    "journal_ref": "J.Math.Phys. 38 (1997) 4492-4503",
    "title": "Supersymmetry and Supercoherent States of a Nonrelativistic Free   Particle",
    "url": "https://arxiv.org/abs/quant-ph/9709041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b3851199-51af-469b-80a7-662cb6a034ce",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}