---
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"title": "OP-QM-005 · 隧穿中的核心—场耦合",
"title_en": "OP-QM-005 · Core–Field Coupling in Tunneling",
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"en": "Tunneling"
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{
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"label": "现象学要求",
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"title": "各向异性空间动力学（最终合订稿）",
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"/open-problems/quantum/experimental-discriminator"
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"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"
],
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"deliverable": "交付规定势垒的一组联合初边值演化，含守恒残差、网格与边界收敛、核心轨迹的模型依据以及统计初态来源；先复核精确矩形结果和阈值极限，再报告有效描述的偏离。",
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---
## 已经得到的结果
一维定态、两侧传播参数相同的矩形势垒已有精确包络边值解：双曲透射式与指数有理分式恒等，反射与透射流之和为一。变系数势垒已有散度方程、振幅输运和首阶 WKB 表达。它们明确解决有效包络的传播问题。
## 仍需完成的研究
从同一作用量演化有限核心、伴随场、势垒材料及其反作用，追踪拓扑密度和能量交换，比较核心穿越概率与包络流比。快变边界回到二阶双曲方程；一般变系数势垒保留 WKB 缓变条件与转折点连接。
## 下一份可复核成果
交付规定势垒的一组联合初边值演化，含守恒残差、网格与边界收敛、核心轨迹的模型依据以及统计初态来源；先复核精确矩形结果和阈值极限，再报告有效描述的偏离。
## 适用范围与研究入口
WKB 等号定义该阶近似表达，不使任意势垒真实透射率成为精确解；倏逝包络的非零流也不单独证明非线性核心已跨越。
[tunneling](/theory/quantum/tunneling) · [accompanying field](/theory/quantum/accompanying-field) · [detection statistics](/theory/quantum/detection-statistics) · [quantum](/theory/quantum)