{
  "annotation_id": "d42b217c-5aca-46b1-abdb-08893a4cdd1f",
  "date_created": "2026-03-02T18:02:47.509000Z",
  "date_modified": "2026-03-02T18:02:47.509000Z",
  "file_hash": "830c865bb85fe2b22c10d8005728247cfb079383945a1120389c4b91a9c76b20",
  "private": false,
  "record": {
    "abstract": "This paper suggests a new way to compute the path integral for simple quantum\nmechanical systems. The new algorithm originated from previous research in\nstring theory. However, its essential simplicity is best illustrated in the\ncase of a free non relativistic particle, discussed here, and can be\nappreciated by most students taking an introductory course in Quantum\nMechanics. Indeed, the emphasis is on the role played by the {\\it entire family\nof classical trajectories} in terms of which the path integral is computed\nexactly using a functional representation of the Dirac delta-distribution. We\nargue that the new algorithm leads to a deeper insight into the connection\nbetween classical and quantum systems, especially those encountered in high\nenergy physics.",
    "arxiv_id": "quant-ph/9910074",
    "authors": [
      "S. Ansoldi",
      "A. Aurilia",
      "E. Spallucci"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0143-0807/21/1/301",
    "journal_ref": "Eur.J.Phys. 21 (2000) 1-12",
    "title": "Particle Propagator in Elementary Quantum Mechanics: a New Path Integral   Derivation",
    "url": "https://arxiv.org/abs/quant-ph/9910074"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f3734087-8eed-483c-bf56-4a145fc3a79e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}