{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:516fb662-512d-42cf-b030-756189a7065e",
  "labels": {
    "zh-CN": "非相对论场论传播子",
    "en": "Nonrelativistic propagator"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "4fc78f9ddc3363b1d2c2fb96136cdd6e84086e83114d20e59a65f6dde6597a78",
  "occurrences": [
    {
      "concept_id": "urn:uuid:516fb662-512d-42cf-b030-756189a7065e",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "zh-CN",
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory",
      "anchor": "first-a6f7889de0a9ef156552-zh",
      "chapter": "37",
      "section": "37.3",
      "offset": 906,
      "range": [
        7722,
        8280
      ],
      "source_revision": "424a6677c29468e8f0cb37510b1ebfac14b3001f6ae450893002ab7c8061d6b6",
      "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-37/03-the-propagator-in-non-relativistic-quantum-field-theory",
          "lang": "zh-CN",
          "section": "37.3",
          "signal": "named-definition",
          "label": "非相对论场论传播子",
          "english": "",
          "offset": 645
        }
      },
      "label": "> [!definition] 定义 · 非相对论场论传播子",
      "context": {
        "range": [
          7722,
          8280
        ],
        "quote": "\n\n> [!definition] 定义 · 非相对论场论传播子\n>\n> 当 $t_2>t_1$ 时，非相对论量子场论的[<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-field-theory/nonrelativistic-propagator\" data-concept-identity=\"urn:uuid:65334560-ae6d-466e-803c-78244b705c5b\" data-concept-route=\"/concept-identities#concept-65334560-ae6d-466e-803c-78244b705c5b\" id=\"first-ad613dd3edd620bb3d47-zh\">传播子(propagator)</u>](../../../../../concepts/quantum-field-theory/nonrelativistic-propagator)是振幅\n>\n> $$\n> U(x_2,t_2,x_1,t_1)=\\langle0|\\widehat\\Psi(x_2,t_2)\\widehat\\Psi^\\dagger(x_1,t_1)|0\\rangle.\n> $$\n",
        "quote_sha256": "4fffc71ea9fb9eaec20a740c06b5b272db8b41aa6411a00b963b0da60864798e",
        "environment": "definition",
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-cdce3f8c1d778e33cd942c6c"
    },
    {
      "concept_id": "urn:uuid:516fb662-512d-42cf-b030-756189a7065e",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "en",
      "route": "books/woit-qtgr/2025-10-20/en/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory",
      "anchor": "first-104e66a9a3c499a2299e-en",
      "chapter": "37",
      "section": "37.3",
      "offset": 1713,
      "range": [
        7684,
        8273
      ],
      "source_revision": "975ab244570af0547759acc9a9a1af4eaf3697458a7849ddb7f7234375366cfa",
      "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/en/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory",
          "lang": "en",
          "section": "37.3",
          "signal": "named-definition",
          "label": "Nonrelativistic propagator",
          "english": "Nonrelativistic propagator",
          "offset": 1452
        }
      },
      "label": "> [!definition] Definition · Nonrelativistic propagator",
      "context": {
        "range": [
          7684,
          8273
        ],
        "quote": "\n\n> [!definition] Definition · Nonrelativistic propagator\n>\n> The [<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-field-theory/nonrelativistic-propagator\" data-concept-identity=\"urn:uuid:65334560-ae6d-466e-803c-78244b705c5b\" data-concept-route=\"/concept-identities#concept-65334560-ae6d-466e-803c-78244b705c5b\" id=\"first-ad613dd3edd620bb3d47-en\">propagator</u>](../../../../../concepts/quantum-field-theory/nonrelativistic-propagator) is the amplitude, for $t_2>t_1$,\n>\n> $$\n> U(x_2,t_2,x_1,t_1)=\\langle0|\\widehat\\Psi(x_2,t_2)\\widehat\\Psi^\\dagger(x_1,t_1)|0\\rangle.\n> $$\n",
        "quote_sha256": "43ceb3b900ae0992e4c107f6b7d621a693c3faf917b74d26af6b4531465225b7",
        "environment": "definition",
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory",
          "lang": "zh-CN",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-954808d791b77da5a13a71e7"
    }
  ],
  "registered_positions": [
    {
      "route": "books/woit-qtgr/2025-10-20/en/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory",
      "lang": "en",
      "section": "37.3",
      "signal": "named-definition",
      "label": "Nonrelativistic propagator",
      "english": "Nonrelativistic propagator",
      "offset": 1452
    },
    {
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory",
      "lang": "zh-CN",
      "section": "37.3",
      "signal": "named-definition",
      "label": "非相对论场论传播子",
      "english": "",
      "offset": 645
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-cdce3f8c1d778e33cd942c6c",
    "occ-954808d791b77da5a13a71e7"
  ],
  "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": "a73a14ab0f33e9d14d32c6f70ee29e2b89a1bbb73860483ceeee192e1a6eabd5",
  "optional_enrichments": []
}