{
  "annotation_id": "ef0dc02f-87db-426b-ba39-25c68401a701",
  "date_created": "2026-03-02T18:02:23.354000Z",
  "date_modified": "2026-03-02T18:02:23.354000Z",
  "file_hash": "0a91619fab87b12593d3a963ca55edc13c64698e4e0576bd0e9a0401faca77c3",
  "private": false,
  "record": {
    "abstract": "The Stern-Gerlach experiment is the fundamental experiment in order to\nexhibit the quantization of spin and understand the measurement problem in\nquantum mechanics. However, although the Stern-Gerlach experiment plays an\nessential role in the teaching of quantum mechanics, no complete analysis of\nthis experiment using Pauli spinors is presented in the pedagogical literature.\nThis paper presents such an analysis and develops implications for the theory\nof quantum measurement.\n  We first propose an analytic expression of both the wave function and the\nprobability density in the Stern-Gerlach experiment. Our explicit solution is\nobtained via a complete integration of the Pauli equation over time and space.\nThe probability density evolution describes a slipping of the wave packet into\ntwo separate packets due to the measurement device, but it cannot account for\nimpacts.\n  We therefore calculate the de Broglie-Bohm trajectories, which not only\nexplain impacts naturally, but also accounts for the spin quantization\nfollowing the magnetic field gradient. It is then possible to propose a clear\nexplanation of measurement effects in the Stern-Gerlach experiment.",
    "arxiv_id": "quant-ph/0511276",
    "authors": [
      "Michel Gondran",
      "Alexandre Gondran"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A complete analysis of the Stern-Gerlach experiment using Pauli spinors",
    "url": "https://arxiv.org/abs/quant-ph/0511276"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "02f6b99d-839b-4516-aad6-c3b488187e3e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}