"Pauli vector" meaning in All languages combined

{
  "forms": [
    {
      "form": "Pauli vectors",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Pauli vector (plural Pauli vectors)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The eigenvectors of the first Pauli matrix \"encode\" — as it were — the +X and −X directions. Likewise, the eigenvectors of the second Pauli matrix \"encode\" the +Y and −Y directions and those of the third Pauli matrix, the +Z and −Z directions. The dot product of the Pauli vector with any unit vector ⃑N yields a matrix which likewise has eigenvalues +1 and −1 and a pair of eigenvectors; the eigenvector with positive eigenvalue \"encodes\" the +N direction and the eigenvector with negative eigenvalue \"encodes\" the −N direction. The dot product of any two such \"encoded\" directions yields the probability amplitude that the spin of an electron prepared in the first direction will collapse to the second direction when measured along that second direction."
        }
      ],
      "glosses": [
        "A vector whose components are Pauli matrices; e.g., ⃑σ=σ₁̂i+σ₂̂j+σ₃̂k."
      ],
      "id": "en-Pauli_vector-en-noun-s62jgZxJ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "Pauli matrices",
          "Pauli matrix"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A vector whose components are Pauli matrices; e.g., ⃑σ=σ₁̂i+σ₂̂j+σ₃̂k."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Pauli vector"
}

{
  "forms": [
    {
      "form": "Pauli vectors",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Pauli vector (plural Pauli vectors)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The eigenvectors of the first Pauli matrix \"encode\" — as it were — the +X and −X directions. Likewise, the eigenvectors of the second Pauli matrix \"encode\" the +Y and −Y directions and those of the third Pauli matrix, the +Z and −Z directions. The dot product of the Pauli vector with any unit vector ⃑N yields a matrix which likewise has eigenvalues +1 and −1 and a pair of eigenvectors; the eigenvector with positive eigenvalue \"encodes\" the +N direction and the eigenvector with negative eigenvalue \"encodes\" the −N direction. The dot product of any two such \"encoded\" directions yields the probability amplitude that the spin of an electron prepared in the first direction will collapse to the second direction when measured along that second direction."
        }
      ],
      "glosses": [
        "A vector whose components are Pauli matrices; e.g., ⃑σ=σ₁̂i+σ₂̂j+σ₃̂k."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "vector",
          "vector"
        ],
        [
          "Pauli matrices",
          "Pauli matrix"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A vector whose components are Pauli matrices; e.g., ⃑σ=σ₁̂i+σ₂̂j+σ₃̂k."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Pauli vector"
}