Abstract The complex wave number plane equips us with an elegant mathematical construct which can be used to display and classify the different types of states which arise from solution of the time-independent Schrodinger equation for a quantum mechanical potential. The complex wave number plane is also useful for tracking the trajectories of these solutions as the potential is perturbed in some way, often resulting in profound dynamical structure. In this work we propose an alternative coordinate system, which we call the potentiodynamic plane, which has the useful property that the trajectories stay bounded, and apply this to the square well/barrier potential to reveal some new insights.

中文翻译：

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动电位平面中的方形阱/势垒共振

摘要 复波数平面为我们提供了一种优雅的数学结构，可用于显示和分类由解与时间无关的薛定谔方程引起的量子力学势的不同类型的状态。复波数平面对于跟踪这些解的轨迹也很有用，因为势能以某种方式受到扰动，通常会导致深刻的动力学结构。在这项工作中，我们提出了一个替代坐标系，我们称之为动电位平面，它具有轨迹保持有界的有用特性，并将其应用于方形阱/势垒势以揭示一些新的见解。