{
  "annotation_id": "55b20784-4f07-492b-b762-f5492eea54df",
  "date_created": "2026-03-02T18:02:09.882000Z",
  "date_modified": "2026-03-02T18:02:09.882000Z",
  "file_hash": "b1152cddf32c11c88554dfb2250c34c650bf3efa7cdb559ee2eeb370b7b98659",
  "private": false,
  "record": {
    "abstract": "This paper constitutes a review on N=2 fractional supersymmetric Quantum\nMechanics of order k. The presentation is based on the introduction of a\ngeneralized Weyl-Heisenberg algebra W_k. It is shown how a general Hamiltonian\ncan be associated with the algebra W_k. This general Hamiltonian covers various\nsupersymmetrical versions of dynamical systems (Morse system, Poschl-Teller\nsystem, fractional supersymmetric oscillator of order k, etc.). The case of\nordinary supersymmetric Quantum Mechanics corresponds to k=2. A connection\nbetween fractional supersymmetric Quantum Mechanics and ordinary supersymmetric\nQuantum Mechanics is briefly described. A realization of the algebra W_k, of\nthe N=2 supercharges and of the corresponding Hamiltonian is given in terms of\ndeformed-bosons and k-fermions as well as in terms of differential operators.",
    "arxiv_id": "quant-ph/0409169",
    "authors": [
      "Maurice Robert Kibler",
      "Mohammed Daoud"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "title": "On supersymmetric quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0409169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8d3d9228-be05-48ec-967b-49aa7a55346a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}