{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:438ec001-b2be-4352-a008-bba8f8a1f3f1",
  "labels": {
    "zh-CN": "克莱因-戈尔登方程",
    "en": "Klein-Gordon equation"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "ead73e1a8a90e1272e464ceecff7b5cadd5e47946fc6aaf650e06fd33811057d",
  "occurrences": [
    {
      "concept_id": "urn:uuid:438ec001-b2be-4352-a008-bba8f8a1f3f1",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "zh-CN",
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-43/01-the-klein-gordon-equation-and-its-solutions",
      "anchor": "first-dd4cc999609d536dcee9-zh",
      "chapter": "43",
      "section": "43.1",
      "offset": 682,
      "range": [
        8048,
        8333
      ],
      "source_revision": "e84fed0a679a3ab83f2715f4f85d1056c5b34e27f06073132c42159df636520e",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "definition",
      "role_basis": {
        "kind": "registered-source-environment",
        "registered_position": {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-43/01-the-klein-gordon-equation-and-its-solutions",
          "lang": "zh-CN",
          "section": "43.1",
          "signal": "named-definition",
          "label": "克莱因-戈尔登方程",
          "english": "",
          "offset": 612
        }
      },
      "label": "> [!definition] 定义（克莱因-戈尔登方程）",
      "context": {
        "range": [
          8048,
          8333
        ],
        "quote": "\n\n> [!definition] 定义（克莱因-戈尔登方程）\n> 克莱因-戈尔登方程是二阶偏微分方程\n>\n> $$\n> \\left(- \\frac {\\partial^ {2}}{\\partial t ^ {2}} + \\frac {\\partial^ {2}}{\\partial x _ {1} ^ {2}} + \\frac {\\partial^ {2}}{\\partial x _ {2} ^ {2}} + \\frac {\\partial^ {2}}{\\partial x _ {3} ^ {2}}\\right) \\phi = m ^ {2} \\phi\n> $$\n",
        "quote_sha256": "a9fbd5bd007ee840a548639a737e2ad2c79cc8e416840ac211cd21d26468b895",
        "environment": "definition",
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-43/01-the-klein-gordon-equation-and-its-solutions",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-a1eed6479292d71b3d64469b"
    },
    {
      "concept_id": "urn:uuid:438ec001-b2be-4352-a008-bba8f8a1f3f1",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "en",
      "route": "books/woit-qtgr/2025-10-20/en/chapter-43/01-the-klein-gordon-equation-and-its-solutions",
      "anchor": "first-e92b7ab2feabb4687b62-en",
      "chapter": "43",
      "section": "43.1",
      "offset": 1503,
      "range": [
        8025,
        8385
      ],
      "source_revision": "3bef23bac9196e6f047c2cd69e68fe0356dc3065cc4d68a49488d2b5045e15d8",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "theorem",
      "role_basis": {
        "kind": "registered-source-environment",
        "registered_position": {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-43/01-the-klein-gordon-equation-and-its-solutions",
          "lang": "en",
          "section": "43.1",
          "signal": "named-theorem",
          "label": "Klein-Gordon equation",
          "english": "Klein-Gordon equation",
          "offset": 1433
        }
      },
      "label": "> [!theorem] Definition (Klein-Gordon equation)",
      "context": {
        "range": [
          8025,
          8385
        ],
        "quote": "\n\n> [!theorem] Definition (Klein-Gordon equation)\n> The Klein-Gordon equation is the secondorder partial differential equation\n>\n> $$\n> \\left(- \\frac {\\partial^ {2}}{\\partial t ^ {2}} + \\frac {\\partial^ {2}}{\\partial x _ {1} ^ {2}} + \\frac {\\partial^ {2}}{\\partial x _ {2} ^ {2}} + \\frac {\\partial^ {2}}{\\partial x _ {3} ^ {2}}\\right) \\phi = m ^ {2} \\phi\n> $$\n",
        "quote_sha256": "d81c28a8264544c86068558cb3e71cc42941212927eb7f635ee467606deb3b5a",
        "environment": "theorem",
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-43/01-the-klein-gordon-equation-and-its-solutions",
          "lang": "zh-CN",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-902243088a500fac07ea1e35"
    }
  ],
  "registered_positions": [
    {
      "route": "books/woit-qtgr/2025-10-20/en/chapter-43/01-the-klein-gordon-equation-and-its-solutions",
      "lang": "en",
      "section": "43.1",
      "signal": "named-theorem",
      "label": "Klein-Gordon equation",
      "english": "Klein-Gordon equation",
      "offset": 1433
    },
    {
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-43/01-the-klein-gordon-equation-and-its-solutions",
      "lang": "zh-CN",
      "section": "43.1",
      "signal": "named-definition",
      "label": "克莱因-戈尔登方程",
      "english": "",
      "offset": 612
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-a1eed6479292d71b3d64469b",
    "occ-902243088a500fac07ea1e35"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 2,
    "located_occurrences": 2,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "eb65a4ee2a199a151241711c12c14fb997124400d91cc8a78db30bbaeff3db1c",
  "optional_enrichments": []
}
