---
{
"id": "OP-QM-002",
"path": "/open-problems/quantum/phase-momentum-locking",
"title": "OP-QM-002 · 相位—动量锁定",
"title_en": "OP-QM-002 · Phase–Momentum Locking",
"category": "量子现象",
"summary": "最终书稿采用单激发周期作用量锁定，把完整着装态的能量动量与伴随场相位联系起来；给定该匹配及有隙色散，群速度、能量中心和机械动量的对应已有明确计算。源若已吸收入着装态与有效哈密顿量，不应再次作为独立驱动重复计入。",
"template": "problem",
"version": "1.0.0",
"updated": "2026-10-24",
"canonical": false,
"source_tier": "research-notes",
"theory_status": "OPEN",
"evidence_status": "UNTESTED",
"locale": "zh",
"module_key": "quantum-research",
"module_navigation": [
{
"path": "/theory/quantum",
"label": "总览",
"en": "Overview"
},
{
"path": "/theory/quantum/accompanying-field",
"label": "伴随场",
"en": "Accompanying Field"
},
{
"path": "/theory/quantum/matter-wave",
"label": "物质波",
"en": "Matter Wave"
},
{
"path": "/theory/quantum/effective-wave-equation",
"label": "有效方程",
"en": "Effective Equation"
},
{
"path": "/theory/quantum/interference-diffraction",
"label": "干涉与衍射",
"en": "Interference"
},
{
"path": "/theory/quantum/uncertainty-probability",
"label": "测不准",
"en": "Uncertainty"
},
{
"path": "/theory/quantum/detection-statistics",
"label": "探测与统计",
"en": "Detection"
},
{
"path": "/theory/quantum/tunneling",
"label": "隧穿",
"en": "Tunneling"
},
{
"path": "/tests/quantum",
"label": "现象学要求",
"en": "Requirements"
}
],
"canonical_scope": "正式研究框架；有效结果依赖明确条件",
"source_chapter": "第五章",
"source_reference": "第五章 §1、§2.3、§6.8 式（5.2.9）—（5.2.14）、（5.6.30）",
"source_version": "ASD-BOOK-ddbade997b45",
"source_sha256": "dace8ff491b4e4ae8a59b2b98e2a6c9c10e689079021ce0bc117985baba68e86",
"source_kind": "manifest",
"source_records": [
{
"id": "ASD-BOOK-ddbade997b45",
"title": "各向异性空间动力学（最终合订稿）",
"filename": "各向异性空间动力学.docx",
"format": "docx",
"size_bytes": 503564,
"sha256": "ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e"
}
],
"source_manifest": "final-manuscript-source-manifest.json",
"source_manifest_url": "/downloads/ASD_Final_Manuscript_Source_Manifest.json",
"last_reviewed": "2026-09-16",
"depends_on": [
"/theory/quantum/matter-wave",
"/theory/matter/mass"
],
"related": [
"/theory/quantum"
],
"open_problems": [
"/open-problems/quantum/source-equation",
"/open-problems/quantum/effective-limit",
"/open-problems/quantum/born-statistics",
"/open-problems/quantum/tunneling-core-coupling",
"/open-problems/quantum/experimental-discriminator"
],
"equations": [
"qm-phase-momentum",
"qm-group-velocity"
],
"sources": [
{
"label": "最终合订稿——实际采用范围见本页来源详情",
"kind": "final-combined-manuscript",
"url": "/downloads/ASD_Final_Manuscript_Source_Manifest.json"
},
{
"label": "历史来源：CH5-ca737ec4e327 · 第五章-出版整理稿.docx",
"kind": "historical-source"
}
],
"outline": [
"已经得到的结果",
"仍需完成的研究",
"下一份可复核成果",
"适用范围与研究入口"
],
"seo_title": "OP-QM-002 · 相位—动量锁定 | Quantum Phenomena Foundation v1.0 · ASD",
"canonical_url": "https://asd-physics.org/open-problems/quantum/phase-momentum-locking",
"translation_path": "/en/open-problems/quantum/phase-momentum-locking",
"mathematical_review": "INCOMPLETE",
"evidence_note": "NOT YET UNIQUELY TESTED · 已知波动现象是验收要求；独立源动力学与普适事件统计尚未闭合。",
"equation": "qm-phase-momentum",
"problem": {
"expertise": [
"Noether 量",
"作用量",
"渐近分析"
],
"difficulty": "Open research",
"missing_result": "从同一核心—束缚近场—伴随场运动族计算 Noether 能量动量及周期作用量，核对相位引入保持目标空间，明确 h 的数值由结构给出还是实验标定；区分完整载波能量与去载波包络能量。",
"deliverable": "交付一组运动构型的独立积分与相位映射，列出源、表面项、归一化与误差；检验各向异性或动量相关传播张量下完整色散求导的结果。",
"current_state": "最终书稿采用单激发周期作用量锁定，把完整着装态的能量动量与伴随场相位联系起来；给定该匹配及有隙色散，群速度、能量中心和机械动量的对应已有明确计算。源若已吸收入着装态与有效哈密顿量，不应再次作为独立驱动重复计入。"
},
"date_published": "2026-09-16",
"metadata_reviewed": "2026-09-22",
"section_anchors": [
"current-results",
"remaining-work",
"next-deliverable",
"scope-and-links"
],
"legacy_anchors": {
"s0": "current-results",
"s1": "remaining-work",
"s2": "next-deliverable",
"s3": "scope-and-links",
"s4": "scope-and-links"
},
"final_source": {
"source_id": "ASD-BOOK-ddbade997b45",
"chapter": "第五章",
"reference": "第五章 §1、§2.3、§6.8 式（5.2.9）—（5.2.14）、（5.6.30）",
"locators": [
"p1870",
"p1874",
"p1877",
"p1880",
"p1884",
"p2298"
],
"adopted_scope": "已得结果、继续研究任务与下一份交付；保留原问题 ID、优先级及状态。",
"conditions": [
"作用量锁定是当前构建中的明确输入；依此得到的闭合关系不应再说成完全没有，但不能把采用输入本身描述为已独立算出其普适微观来源。"
],
"unresolved": [],
"migration_status": "reviewed",
"manuscript_sha256": "ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e",
"source_manifest": "final-manuscript-source-manifest.json",
"body_review": "updated"
},
"previous_source": {
"source_chapter": "Chapter 5 / 第五章 · 出版整理稿",
"source_reference": "Ch. 5 §§1.6, 2.1–2.5",
"source_version": "QM-0accdcbe7725",
"source_sha256": "0accdcbe772504a352cb16ac5e41b6979599e8876b767666397faa8abccfb245",
"source_kind": "manifest",
"source_records": [
{
"id": "CH5-ca737ec4e327",
"title": "第五章-出版整理稿.docx",
"sha256": "ca737ec4e327d72c5507bbc8e00295b6e56029c7583ebad8e505cdb9c68c6262",
"format": "docx"
}
],
"source_manifest": "quantum-source-manifest.json",
"source_manifest_url": "/downloads/ASD_Quantum_Source_Manifest.json",
"sources": [
{
"label": "CH5-ca737ec4e327 · 第五章-出版整理稿.docx",
"kind": "supplied-manuscript"
}
]
}
}
---
## 已经得到的结果
最终书稿采用单激发周期作用量锁定，把完整着装态的能量动量与伴随场相位联系起来；给定该匹配及有隙色散，群速度、能量中心和机械动量的对应已有明确计算。源若已吸收入着装态与有效哈密顿量，不应再次作为独立驱动重复计入。
## 仍需完成的研究
从同一核心—束缚近场—伴随场运动族计算 Noether 能量动量及周期作用量，核对相位引入保持目标空间，明确 h 的数值由结构给出还是实验标定；区分完整载波能量与去载波包络能量。
## 下一份可复核成果
交付一组运动构型的独立积分与相位映射，列出源、表面项、归一化与误差；检验各向异性或动量相关传播张量下完整色散求导的结果。
## 适用范围与研究入口
作用量锁定是当前构建中的明确输入；依此得到的闭合关系不应再说成完全没有，但不能把采用输入本身描述为已独立算出其普适微观来源。
[matter wave](/theory/quantum/matter-wave) · [accompanying field](/theory/quantum/accompanying-field) · [mass](/theory/matter/mass) · [quantum](/theory/quantum)