{
  "annotation_id": "e2ec0b8b-de66-40ec-92ff-94c7b87f6b80",
  "date_created": "2026-03-02T18:02:51.573000Z",
  "date_modified": "2026-03-02T18:02:51.573000Z",
  "file_hash": "48d9d32a3156661559cefe319af3a067123ff345617bfa61c68f101165a15390",
  "private": false,
  "record": {
    "abstract": "Two dimensional classical integrable systems and different integrable\ndeformations for them are derived from phase space realizations of classical\n$sl(2)$ Poisson coalgebras and their $q-$deformed analogues. Generalizations of\nMorse, oscillator and centrifugal potentials are obtained. The N=2 Calogero\nsystem is shown to be $sl(2)$ coalgebra invariant and the well-known\nJordan-Schwinger realization can be also derived from a (non-coassociative)\ncoproduct on $sl(2)$. The Gaudin Hamiltonian associated to such\nJordan-Schwinger construction is presented. Through these examples, it can be\nclearly appreciated how the coalgebra symmetry of a hamiltonian system allows a\nstraightforward construction of different integrable deformations for it.",
    "arxiv_id": "solv-int/9910009",
    "authors": [
      "A. Ballesteros",
      "O. Ragnisco"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "N=2 Hamiltonians with sl(2) coalgebra symmetry and their integrable   deformations",
    "url": "https://arxiv.org/abs/solv-int/9910009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b35350e6-f53c-4929-b33f-d6edb53c471d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}