{ "schema_version": 1, "kind": "ConceptView", "producer": "concept-view-1", "concept_id": "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786", "labels": { "zh-CN": "海森堡绘景", "en": "Heisenberg picture" }, "alternative_labels": [], "scope_note": "", "identity_status": "active", "identity_revision": "c96bf91d598c6d51ff3b178d66ff74cf896b7ac189e86892a18f8051dca4c584", "occurrences": [ { "concept_id": "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786", "book_id": "szekeres", "edition_id": "source-snapshot-bc3404156f6e", "lang": "zh-CN", "route": "zh/chapter-14/02-quantum-dynamics", "anchor": "first-cf15684370463e5ff631-zh", "chapter": "14", "section": "14.2", "offset": 4010, "range": [ 10599, 10843 ], "source_revision": "169b9273ffddda2b376c5049fe82184876c85817f50c198c78c5100218af1223", "source_category": "translation", "review_status": "unreviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "海森堡绘景(Heisenberg picture)", "context": { "range": [ 10325, 10911 ], "quote": "以上对量子力学系统演化的描述称为薛定谔绘景(Schrödinger picture)。存在一种等价的表述，称为海森堡绘景(Heisenberg picture)，其中态被视为常量，但可观测量经历动力学演化。其思想是对${ \\mathcal { H } } ,$同时作用于态和算符，施行一个酉变换：", "quote_sha256": "b10fbea6a7370f04e32c5050806d4eeb21e5ea3774ebfc1475b910d2c2a8f407", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "en/chapter-14/02-quantum-dynamics", "lang": "en", "source_category": "original_transcription", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-20705bd9d3ef4aae0e094e94" }, { "concept_id": "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786", "book_id": "szekeres", "edition_id": "source-snapshot-bc3404156f6e", "lang": "en", "route": "en/chapter-14/02-quantum-dynamics", "anchor": "first-cf15684370463e5ff631-en", "chapter": "14", "section": "14.2", "offset": 5037, "range": [ 11154, 11391 ], "source_revision": "2cba95871dceac25e41bd50705d63b9d8aa14ee8e7a614492deede1f0a3da625", "source_category": "original_transcription", "review_status": "unreviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "Heisenberg picture", "context": { "range": [ 10788, 11595 ], "quote": "The above description of the evolution of a quantum mechanical system is called the Schrödinger picture. There is an equivalent version called the Heisenberg picture in which the states are treated as constant, but observables undergo a dynamic evolution. The idea is to perform a unitary transformation on ${ \\mathcal { H } } ,$ simultaneously on states and operators:", "quote_sha256": "22d27fbcd6f6b3f32a191b39fd1adca5c2434e666841ee435a774a680c0c2da4", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "zh/chapter-14/02-quantum-dynamics", "lang": "zh-CN", "source_category": "translation", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-4e62fe8f425902a3c40992c8" }, { "concept_id": "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "zh-CN", "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/03-the-heisenberg-picture", "anchor": "first-20e9bdd9ef523a597726-zh", "chapter": "7", "section": "7.3", "offset": 61, "range": [ 8265, 8580 ], "source_revision": "5f8a0b2cc9d948646265bae64b9542fa1540f818465f92fddd4b78fdfc0c7c90", "source_category": "machine_draft", "review_status": "machine-draft-not-reviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "海森堡绘景(Heisenberg picture)", "context": { "range": [ 8257, 8643 ], "quote": "## 7.3 [海森堡绘景(Heisenberg picture)](../../../../../concepts/quantum-mechanics/heisenberg-picture)", "quote_sha256": "a9e6f98ca06dc11b965d8063cdb87fcb2dd96632f7aa4ca321aaf9fb876c65ee", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/en/chapter-07/03-the-heisenberg-picture", "lang": "en", "source_category": "machine_draft", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-186b84f75a7b7fed5193fe01" }, { "concept_id": "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "en", "route": "books/woit-qtgr/2025-10-20/en/chapter-07/03-the-heisenberg-picture", "anchor": "first-20e9bdd9ef523a597726-en", "chapter": "7", "section": "7.3", "offset": 65, "range": [ 7432, 7740 ], "source_revision": "2134547383964d76a976c6c9c25db57afd0f18f358f6c08e86ad956e1e5932bf", "source_category": "machine_draft", "review_status": "machine-draft-not-reviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "Heisenberg picture", "context": { "range": [ 7420, 7803 ], "quote": "## 7.3 The [Heisenberg picture](../../../../../concepts/quantum-mechanics/heisenberg-picture)", "quote_sha256": "5b55997a65933dba5167ecc955d6aaede771036e8dad4e5599067be4f0734f08", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/03-the-heisenberg-picture", "lang": "zh-CN", "source_category": "machine_draft", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-f0ad78bbae2fe887245f2de0" }, { "concept_id": "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "zh-CN", "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/03-the-heisenberg-picture", "anchor": "source-7-3-heisenberg-picture", "chapter": "7", "section": "7.3", "offset": 3184, "range": [ 11388, 11668 ], "source_revision": "5f8a0b2cc9d948646265bae64b9542fa1540f818465f92fddd4b78fdfc0c7c90", "source_category": "machine_draft", "review_status": "machine-draft-not-reviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "海森堡绘景(Heisenberg picture)", "context": { "range": [ 11341, 11738 ], "quote": "$U(t)$ 也可用来构造一种酉变换，把时间依赖性从态转移到可观测量上。这样的处理方式称为“[海森堡绘景(Heisenberg picture)](../../../../../concepts/quantum-mechanics/heisenberg-picture)”。变换如下：", "quote_sha256": "888cfd49258a86ed1421ee7e9b1292d1dfb8ee0f8819d465a28b6393eb3dd82a", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/en/chapter-07/03-the-heisenberg-picture", "lang": "en", "source_category": "machine_draft", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-44613de57b0f76b84d698b4d" }, { "concept_id": "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "en", "route": "books/woit-qtgr/2025-10-20/en/chapter-07/03-the-heisenberg-picture", "anchor": "concept-7-3-heisenberg-picture", "chapter": "7", "section": "7.3", "offset": 3454, "range": [ 10821, 11179 ], "source_revision": "2134547383964d76a976c6c9c25db57afd0f18f358f6c08e86ad956e1e5932bf", "source_category": "machine_draft", "review_status": "machine-draft-not-reviewed", "role": "occurrence", "role_basis": { "kind": "explicit-source-uuid-marker" }, "label": "Heisenberg picture", "context": { "range": [ 10656, 11267 ], "quote": "$U(t)$ can also be used to construct a unitary transformation that moves time dependence from the states to the observables. The resulting framework is called the “[Heisenberg picture](../../../../../concepts/quantum-mechanics/heisenberg-picture)”. The transformation is:", "quote_sha256": "4ed50bccc5a982ac6712bb8ca84d1ec6a17acadc22de3fdfdb8202c1c81aa194", "environment": null, "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/03-the-heisenberg-picture", "lang": "zh-CN", "source_category": "machine_draft", "basis": "registered-book-edition-section-language-context; not-concept-equivalence" } ], "id": "occ-bc9f228823e6c91ed0da807e" } ], "registered_positions": [ { "route": "en/chapter-14/02-quantum-dynamics", "lang": "en", "section": "14.2", "signal": "term-mark", "label": "Heisenberg picture", "english": "Heisenberg picture", "offset": 4655 }, { "route": "zh/chapter-14/02-quantum-dynamics", "lang": "zh-CN", "section": "14.2", "signal": "term-mark", "label": "海森堡绘景", "english": "Heisenberg picture", "offset": 3628 }, { "route": "books/woit-qtgr/2025-10-20/en/chapter-07/03-the-heisenberg-picture", "lang": "en", "section": "7.3", "signal": "term-mark", "label": "Heisenberg picture", "english": "Heisenberg picture", "offset": 65 }, { "route": "books/woit-qtgr/2025-10-20/en/chapter-07/03-the-heisenberg-picture", "lang": "en", "section": "7.3", "signal": "term-mark", "label": "Heisenberg picture", "english": "Heisenberg picture", "offset": 2483 }, { "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/03-the-heisenberg-picture", "lang": "zh-CN", "section": "7.3", "signal": "term-mark", "label": "海森堡绘景", "english": "Heisenberg picture", "offset": 61 }, { "route": "books/woit-qtgr/2025-10-20/zh/chapter-07/03-the-heisenberg-picture", "lang": "zh-CN", "section": "7.3", "signal": "term-mark", "label": "海森堡绘景", "english": "Heisenberg picture", "offset": 2213 } ], "statements": [], "resolved_references": [], "reading_order": [ "occ-20705bd9d3ef4aae0e094e94", "occ-4e62fe8f425902a3c40992c8", "occ-186b84f75a7b7fed5193fe01", "occ-f0ad78bbae2fe887245f2de0", "occ-44613de57b0f76b84d698b4d", "occ-bc9f228823e6c91ed0da807e" ], "recorded_dependencies": [], "reading_paths": [], "coverage": { "registered_positions": 6, "located_occurrences": 6, "whole_book_search_complete": false, "registered_positions_truncated": false, "independent_human_review_implied": false }, "unresolved": [], "base_revision": "2a6ae3ac94cf037d723f9ab7bdfaa2cf9ff9a5d6aa4d8680bd7871d51aab2f91", "optional_enrichments": [] }