{
  "annotation_id": "da250c68-d550-487d-be3a-0c2269ed58c7",
  "date_created": "2026-03-02T18:02:47.656000Z",
  "date_modified": "2026-03-02T18:02:47.656000Z",
  "file_hash": "d52a3a547d47b90360f80b3d8ba00d4314c34277d638173453c64ab7190219f7",
  "private": false,
  "record": {
    "abstract": "Recently, we have shown how the interpretation of quantum mechanics due to\nLande\u0027 can be used to derive from first principles generalized formulas for the\noperators and some eigenvectors for spin 1/2 Though we gave the operators for\nall the components of the spin, we did not give the eigenvectors of the\noperators for the x and y components of the spin. We now give these vectors. In\naddition, we present a new and simple method of deriving the operators for the\nx and y components of the spin as well as their vectors from those for the z\ncomponent. We give a general proof that the operator for the square of the spin\nis the unit matrix multiplied by the value of the square of the spin.",
    "arxiv_id": "quant-ph/9906002",
    "authors": [
      "Habatwa Vincent Mweene"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Generalized Spin-1/2 Operators and Their Eigenvectors",
    "url": "https://arxiv.org/abs/quant-ph/9906002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "435cb919-cc3b-4450-a1aa-13d44734b5a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}