{
  "annotation_id": "427171ef-c255-46ea-ba4f-1e2782cf67f3",
  "date_created": "2026-03-02T18:00:49.857000Z",
  "date_modified": "2026-03-02T18:00:49.857000Z",
  "file_hash": "1bb3928483f4e9e45c7df4c32313210ebfe06ba26fcd2185a02f647c3cebd8f3",
  "private": false,
  "record": {
    "abstract": "The constants of motion of the following systems are deduced: a relativistic\nparticle with linear dissipation, a no-relativistic particle with a time\nexplicitly depending force, a no-relativistic particle with a constant force\nand time depending mass, and a relativistic particle under a conservative force\nwith position depending mass. The problem of getting the Hamiltonian for these\nsystems is determined by getting the velocity as an explicit function of\nposition and generalized linear momentum, and this problem can be solved a\nfirst approximation for the first above system.",
    "arxiv_id": "physics/0402031",
    "authors": [
      "G. L\u00f3pez",
      "L. A. Barrera",
      "Y. Garibo",
      "H. Hern\u00e1ndez",
      "J. C. Salazar",
      "C. A. Vargas"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1023/B:IJTP.0000049006.61937.c5",
    "journal_ref": "International Journal of Theoretical Physics, vol. 43, issue 10,\n  pp. 2009-2021",
    "title": "Constant of Motion for several one-dimensional systems and outlining the   problem associated with getting their Hamiltonians",
    "url": "https://arxiv.org/abs/physics/0402031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e300b984-2c61-4154-92b1-8b10e6689474",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}