{
"schema_version": 1,
"kind": "ConceptView",
"producer": "concept-view-1",
"concept_id": "urn:uuid:14428911-958a-420b-b2c4-d079f505c8b7",
"labels": {
"zh-CN": "自发破缺",
"en": "spontaneously broken"
},
"alternative_labels": [],
"scope_note": "",
"identity_status": "active",
"identity_revision": "5f4b22aebd9f48861b79edb71e3eb77a6352751ef06a73fd07fa739898426c99",
"occurrences": [
{
"concept_id": "urn:uuid:14428911-958a-420b-b2c4-d079f505c8b7",
"book_id": "woit-qtgr",
"edition_id": "2025-10-20",
"lang": "zh-CN",
"route": "books/woit-qtgr/2025-10-20/zh/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential",
"anchor": "first-e861fec40e0a2930db31-zh",
"chapter": "33",
"section": "33.2",
"offset": 2502,
"range": [
9354,
9681
],
"source_revision": "a4f6096374373242e2b04e98cfadb9a2424fc549329abd2691b4b6d59fb0c66e",
"source_category": "machine_draft",
"review_status": "machine-draft-not-reviewed",
"role": "occurrence",
"role_basis": {
"kind": "explicit-source-uuid-marker"
},
"label": "自发破缺(spontaneously broken)",
"context": {
"range": [
9279,
9898
],
"quote": "对于任何量子系统，一个重要的问题是它是否具有唯一的能量最低态。如果能量最低态不唯一，并且一个对称群在能量最低态空间上的作用是非平凡的，则称该对称是“[自发破缺(spontaneously broken)](../../../../../concepts/quantum-mechanics/spontaneous-symmetry-breaking)”，这一情形将在 39.4 节中讨论。在超对称量子力学系统中，从李超代数的角度考虑，人们称 $Q _ { 1 }$ 为某个超对称作用的生成元，而 $H$ 在该超对称下不变，其含义是 $Q _ { 1 }$ 与 $H$ 的对易子为零。超对称如何作用于能量最低态的问题取决于能否找到方程的解",
"quote_sha256": "8e75c263d262d9ad07c818916d23b945bcd37ea3b229de5e16694a7bd4f27a9f",
"environment": null,
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "books/woit-qtgr/2025-10-20/en/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential",
"lang": "en",
"source_category": "machine_draft",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-e4ff2cd9a0e7b1ee0899753d"
},
{
"concept_id": "urn:uuid:14428911-958a-420b-b2c4-d079f505c8b7",
"book_id": "woit-qtgr",
"edition_id": "2025-10-20",
"lang": "en",
"route": "books/woit-qtgr/2025-10-20/en/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential",
"anchor": "first-e861fec40e0a2930db31-en",
"chapter": "33",
"section": "33.2",
"offset": 3568,
"range": [
9576,
9897
],
"source_revision": "e308a9e84b1cb51249b01021a9111447770917784c1b0c7d73013cf92cb399ad",
"source_category": "machine_draft",
"review_status": "machine-draft-not-reviewed",
"role": "occurrence",
"role_basis": {
"kind": "explicit-source-uuid-marker"
},
"label": "spontaneously broken",
"context": {
"range": [
9325,
10621
],
"quote": "For any quantum system, an important question is that of whether it has a unique lowest energy state. If the lowest energy state is not unique, and a symmetry group acts non-trivially on the space of lowest energy states, the symmetry is said to be “[spontaneously broken](../../../../../concepts/quantum-mechanics/spontaneous-symmetry-breaking)”, a situation that will be discussed in section 39.4. In supersymmetric quantum mechanics systems, thinking in terms of Lie superalgebras, one calls $Q _ { 1 }$ the generator of the action of a supersymmetry, with $H$ invariant under the supersymmetry in the sense that the commutator of $Q _ { 1 }$ and $H$ is zero. The question of how the supersymmetry acts on the lowest energy state depends on whether or not solutions can be found to the equation",
"quote_sha256": "ebeca54afca4beda4444169c67208fd70f8b98261e02281beb4a1ff984ad0b6f",
"environment": null,
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "books/woit-qtgr/2025-10-20/zh/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential",
"lang": "zh-CN",
"source_category": "machine_draft",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-790ec631fe8efea69e07d036"
}
],
"registered_positions": [
{
"route": "books/woit-qtgr/2025-10-20/en/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential",
"lang": "en",
"section": "33.2",
"signal": "term-mark",
"label": "spontaneously broken",
"english": "spontaneously broken",
"offset": 3377
},
{
"route": "books/woit-qtgr/2025-10-20/zh/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential",
"lang": "zh-CN",
"section": "33.2",
"signal": "term-mark",
"label": "自发破缺",
"english": "spontaneously broken",
"offset": 2311
}
],
"statements": [],
"resolved_references": [
{
"raw": "href=\"../chapter-39/04-spontaneous-symmetry-breaking#section-39-4\"",
"href": "../chapter-39/04-spontaneous-symmetry-breaking#section-39-4",
"range": [
10015,
10081
],
"relation": "references",
"target_route": "books/woit-qtgr/2025-10-20/en/chapter-39/04-spontaneous-symmetry-breaking",
"target_anchor": "section-39-4",
"resolved": true,
"reason": null,
"source_revision": "e308a9e84b1cb51249b01021a9111447770917784c1b0c7d73013cf92cb399ad",
"source_route": "books/woit-qtgr/2025-10-20/en/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential",
"occurrence_id": "occ-790ec631fe8efea69e07d036"
}
],
"reading_order": [
"occ-e4ff2cd9a0e7b1ee0899753d",
"occ-790ec631fe8efea69e07d036"
],
"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": "cec22b886e58e3d955a8bd7736a46ccf7197ab77eaac360076aac3f935295be4",
"optional_enrichments": []
}