{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:f3d0516f-16c8-42bf-9b2d-e348d15f5539",
  "labels": {
    "zh-CN": "酉变换",
    "en": "unitary transformation"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "119b79d69c599defb0530ad991a450077715a5c6b76e71940d67a17a78da242e",
  "occurrences": [
    {
      "concept_id": "urn:uuid:f3d0516f-16c8-42bf-9b2d-e348d15f5539",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "zh-CN",
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-03/01-the-two-state-quantum-system",
      "anchor": "first-19dbc282fc310e616b43-zh",
      "chapter": "3",
      "section": "3.1",
      "offset": 8503,
      "range": [
        20893,
        21139
      ],
      "source_revision": "45b988396e9d8b60042fff90b58ac157f2196275c5c7e86231f3f54857f6c921",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "酉变换(unitary transformation)",
      "context": {
        "range": [
          20735,
          21142
        ],
        "quote": "我们在[第 2 章](../chapter-02/index#section-2)看到，在 $U(1)$ 情形下，知道 $\\mathcal H$ 上的可观测算符 $Q$ 就能确定 $U(1)$ 的表示：表示矩阵由对 $i\\theta Q$ 取指数得到。这里我们也将以类似方式对二态系统的可观测量取指数，从而得到相应的<u class=\"concept-term\" data-concept-identity=\"urn:uuid:f3d0516f-16c8-42bf-9b2d-e348d15f5539\" data-concept-route=\"/concept-identities#concept-f3d0516f-16c8-42bf-9b2d-e348d15f5539\" id=\"first-19dbc282fc310e616b43-zh\">酉变换(unitary transformation)</u>表示。",
        "quote_sha256": "d0a2edf8237bd53119b6c2790cb678d7ea814c355b2281fd78de1bd33312d4cc",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-03/01-the-two-state-quantum-system",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-c7070ac53bf6b7b9d2c1b7d6"
    }
  ],
  "registered_positions": [
    {
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-03/01-the-two-state-quantum-system",
      "lang": "zh-CN",
      "section": "3.1",
      "signal": "term-mark",
      "label": "酉变换",
      "english": "unitary transformation",
      "offset": 6692
    }
  ],
  "statements": [],
  "resolved_references": [
    {
      "raw": "[第 2 章](../chapter-02/index#section-2)",
      "href": "../chapter-02/index#section-2",
      "range": [
        20738,
        20776
      ],
      "relation": "references",
      "target_route": "books/woit-qtgr/2025-10-20/zh/chapter-02/index",
      "target_anchor": "section-2",
      "resolved": true,
      "reason": null,
      "source_revision": "45b988396e9d8b60042fff90b58ac157f2196275c5c7e86231f3f54857f6c921",
      "source_route": "books/woit-qtgr/2025-10-20/zh/chapter-03/01-the-two-state-quantum-system",
      "occurrence_id": "occ-c7070ac53bf6b7b9d2c1b7d6"
    }
  ],
  "reading_order": [
    "occ-c7070ac53bf6b7b9d2c1b7d6"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 1,
    "located_occurrences": 1,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "d887992889faed3692d6636805c6bb55327d7fb7ff052203a4606341220ba7c5",
  "optional_enrichments": []
}