{
  "annotation_id": "7f3a68e7-746b-4dc9-ba04-e305917757bb",
  "date_created": "2026-03-02T18:01:21.214000Z",
  "date_modified": "2026-03-02T18:01:21.214000Z",
  "file_hash": "bb261618cb91457c260b0adf0a5205eb1d81693e85bdfb2b733c44478e64bcb7",
  "private": false,
  "record": {
    "abstract": "In this work we present a formal generalization of the Hamilton-Jacobi\nformalism, recently developed for singular systems, to include the case of\nLagrangians containing variables which are elements of Berezin algebra. We\nderive the Hamilton-Jacobi equation for such systems, analizing the singular\ncase in order to obtain the equations of motion as total differential equations\nand study the integrability conditions for such equations. An example is solved\nusing both Hamilton-Jacobi and Dirac\u0027s Hamiltonian formalisms and the results\nare compared.",
    "arxiv_id": "physics/9712016",
    "authors": [
      "B. M. Pimentel",
      "R. G. Teixeira",
      "J. L. Tomazelli"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP"
    ],
    "doi": "10.1006/aphy.1998.5813",
    "journal_ref": "Annals Phys. 267 (1998) 75-96",
    "title": "Hamilton-Jacobi approach to Berezinian singular systems",
    "url": "https://arxiv.org/abs/physics/9712016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "28c68ccf-ce66-452a-9cf3-d5b9ab88db3f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}