{
  "annotation_id": "37995c50-8631-4b64-835b-e3ac240b574f",
  "date_created": "2026-03-02T18:02:19.478000Z",
  "date_modified": "2026-03-02T18:02:19.478000Z",
  "file_hash": "4070743254636815011f1515fa38c5abb7124857b52cb57b6f36b556645e9040",
  "private": false,
  "record": {
    "abstract": "The dynamics of particles moving in a medium defined by its relativistically\ninvariant stochastic properties is investigated. For this aim, the force\nexerted on the particles by the medium is defined by a stationary random\nvariable as a function of the proper time of the particles. The equations of\nmotion for a single one-dimensional particle are obtained and numerically\nsolved. A conservation law for the drift momentum of the particle during its\nrandom motion is shown. Moreover, the conservation of the mean value of the\ntotal linear momentum for two particles repelling each other according with the\nCoulomb interaction is also following. Therefore, the results indicate the\nrealization of a kind of stochastic Noether theorem in the system under study.\nPossible applications to the stochastic representation of Quantum Mechanics are\nadvanced.",
    "arxiv_id": "quant-ph/0509026",
    "authors": [
      "Alejandro Cabo-Bizet",
      "Alejandro Cabo Montes de Oca"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2006.06.047",
    "title": "Particle dynamics in a relativistic invariant stochastic medium",
    "url": "https://arxiv.org/abs/quant-ph/0509026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3678f054-144f-4067-97fa-9fa90077fbd5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}