论文标题
盒子中的粒子值得检查
The Particle in a Box Warrants an Examination
论文作者
论文摘要
盒子中的粒子是一个简单的型号，具有经典的哈密顿$ h = p^2 $（使用$ 2M = 1 $），具有有限的坐标空间，$ -b <q <b $，其中$ 0 <b <\ f <\ infty $。使用规范量化，由于其简单性，该示例已被充分研究，这是初学者理解的常见示例。尽管有反复的分析，但仍有一个使过去的结果受到质疑的功能。除了指出量化问题外，仿射量化程序还可以导致适当的量化，nesaeccsrily指向更复杂的特征功能和特征值，应该解决。
The particle in a box is a simple model that has a classical Hamiltonian $H=p^2$ (using $2m=1$), with a limited coordinate space, $-b<q<b$, where $0<b<\infty$. Using canonical quantization, this example has been fully studied thanks to its simplicity, and it is a common example for beginners to understand. Despite its repeated analysis, there is a feature that puts the past results into question. In addition to pointing out the quantization issue, the procedures of affine quantization can lead to a proper quantization that nesaeccsrily points toward more complicated eigenfunctions and eigenvalues, which deserve to be solved.
