{
  "annotation_id": "2e82d737-73b2-4d1d-b52f-ef8d42a46c9f",
  "date_created": "2026-03-02T18:02:50.704000Z",
  "date_modified": "2026-03-02T18:02:50.704000Z",
  "file_hash": "ba13124f5a0714621d6f8b455f572d8c1fee4b94cbc2f4a4c0df8bde35fb032a",
  "private": false,
  "record": {
    "abstract": "Completely integrable Hamiltonians defining classical mechanical systems of\n$N$ coupled oscillators are obtained from Poisson realizations of\nHeisenberg--Weyl, harmonic oscillator and $sl(2,\\R)$ coalgebras. Various\ncompletely integrable deformations of such systems are constructed by\nconsidering quantum deformations of these algebras. Explicit expressions for\nall the deformed Hamiltonians and constants of motion are given, and the\nlong-range nature of the interactions is shown to be linked to the underlying\ncoalgebra structure. The relationship between oscillator systems induced from\nthe $sl(2,\\R)$ coalgebra and angular momentum chains is presented, and a\nnon-standard integrable deformation of the hyperbolic Gaudin system is\nobtained.",
    "arxiv_id": "solv-int/9805004",
    "authors": [
      "Angel Ballesteros",
      "Francisco J. Herranz"
    ],
    "categories": [
      "solv-int",
      "math.QA",
      "nlin.SI"
    ],
    "title": "Long range integrable oscillator chains from quantum algebras",
    "url": "https://arxiv.org/abs/solv-int/9805004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e03a7d51-0d5c-465f-9d17-ae8146889579",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}