发表机构
Eberhard-Karls-Universität Tübingen（蒂宾根大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文扩展了吸收边界条件（ABC）与复吸收势（CAP）的关联研究，在CAP区域末端施加狄利克雷边界条件的不同极限下导出ABC，该结果更具实际相关性与可实现性。
AI 中文摘要
在量子力学中，针对如何计算沿给定空间表面或在给定体积内的探测时间与位置的概率分布，现有两种主流方案：针对薛定谔方程的吸收边界条件（ABC）与复吸收势（CAP）。本文扩展了二者关联的早期研究结果：此前研究表明ABC可作为CAP的极限情况导出，但该推导需在CAP区域末端施加（反射性）诺伊曼边界条件；本文则通过在CAP区域末端施加狄利克雷边界条件，在不同极限下得到了ABC，该结果似乎更具实际相关性与可实现性。
英文摘要
In quantum mechanics, among the proposals for how to compute the probability distribution of detection time and place along a given spatial surface or in a given volume, two leading candidates involve absorbing boundary conditions (ABCs) and complex absorbing potentials (CAPs) for the Schrödinger equation. Here, we extend earlier results on how the two are related. It was previously shown that ABCs arise as a limiting case of CAPs, but for that a (reflecting) Neumann boundary condition was assumed at the end of the region with the CAP. Here, we obtain ABCs in a different limit using a Dirichlet boundary condition at the end of the CAP region, which seems more practically relevant and realizable.
Comments12 pages LaTeX, no figures
