{
  "annotation_id": "8bee139f-8b23-40f5-bd97-55ee40d4eb4b",
  "date_created": "2026-03-02T18:02:51.577000Z",
  "date_modified": "2026-03-02T18:02:51.577000Z",
  "file_hash": "aa94662140689d54c80de02df91963a86e5a4988a45b49d4761c27a2a3a938f9",
  "private": false,
  "record": {
    "abstract": "A family of completely integrable nonlinear deformations of systems of N\nharmonic oscillators are constructed from the non-standard quantum deformation\nof the sl(2,R) algebra. Explicit expressions for all the associated integrals\nof motion are given, and the long-range nature of the interactions introduced\nby the deformation is shown to be linked to the underlying coalgebra structure.\nSeparability and superintegrability properties of such systems are analysed,\nand their connection with classical angular momentum chains is used to\nconstruct a non-standard integrable deformation of the XXX hyperbolic Gaudin\nsystem.",
    "arxiv_id": "solv-int/9911004",
    "authors": [
      "Angel Ballesteros",
      "Francisco J. Herranz"
    ],
    "categories": [
      "solv-int",
      "math.QA",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/32/50/306",
    "journal_ref": "J. Phys. A, 32 (1999) 8851-8862",
    "title": "Integrable deformations of oscillator chains from quantum algebras",
    "url": "https://arxiv.org/abs/solv-int/9911004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0010e052-f47f-458f-b6e7-86f121a86372",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}