{
  "annotation_id": "d97edf98-43f1-4207-b601-5fbee4c6e1ad",
  "date_created": "2026-03-02T18:01:59.918000Z",
  "date_modified": "2026-03-02T18:01:59.918000Z",
  "file_hash": "9b06d67d5ebfb0d7af7552a903424a0bee0261fd2cef24e80d75d5688d436770",
  "private": false,
  "record": {
    "abstract": "We revisit the definition of the probability current for the Schrodinger\nequation. First, we prove that the Dirac probability currents of stationary\nwave functions of the hydrogen atom and of the isotrop harmonic oscillator are\nnot nil and correspond to a circular rotation of the probability. Then, we\nrecall how it is necessary to add to classical Pauli and Schrodinger currents,\nan additional spin-dependant current, the Gordan current. Consequently, we get\na circular probability current in the Schrodinger approximation for the\nhydrogen atom and the isotrop harmonic oscillator.",
    "arxiv_id": "quant-ph/0304055",
    "authors": [
      "Michel Gondran",
      "Alexandre Gondran"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Revisiting the Schrodinger probability current",
    "url": "https://arxiv.org/abs/quant-ph/0304055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "43eec3c5-8092-4ee6-b950-3dfdeee27ede",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}