AI 中文总结
研究量子力学中方阱问题，核心方法是对波动方程应用傅里叶变换，主要贡献是提出系统程序来证明当方阱宽度趋于无穷时自由粒子解如何从中出现。
AI 中文摘要
自由粒子和方阱势是量子力学中两个最具代表性的问题，阐释了诸如物质波、能量量子化和束缚态等基本概念。因此很自然会思考当宽度趋于无穷时，自由粒子解如何从方阱中出现。在这项工作中，我们提出了一个通过对波动方程应用傅里叶变换来证明这种转变的系统程序。
英文摘要
The free-particle and square-well potentials are two of the most emblematic problems in quantum mechanics, illustrating essential concepts such as matter waves, energy quantization, and bound states. It is therefore natural to consider how the free-particle solutions emerge from the square well as the width approaches infinity. In this work, we present a systematic procedure to demonstrate this transition by applying a Fourier transform to the wave equation.
Comments7 pages, 2 figures
