标题： 通过受限氢原子中的束缚态到束缚态跃迁阐明费米黄金法则 显示英文标题

标题： Elucidating Fermi's Golden Rule via bound-to-bound transitions in a confined hydrogen atom

摘要： 我们展示了一种有效计算束缚态到连续态截面的方法，通过检查系统置于无限球形势阱中时产生的高于电离能的束缚态跃迁。 以氢原子的光致电离为例，我们展示了这种大体积约束方法与使用能量归一化连续态波函数的精确解析方法之间的收敛性，这有助于阐明费米黄金规则的实现。 随着约束半径的变化，系统物理行为的变化被呈现并进行了讨论。 从主量子数为$n$的各种原子态得到的光致电离截面似乎遵循特定的标度定律。 显示英文摘要

摘要： We demonstrate an effective method for calculating bound-to-continuum cross-sections by examining transitions to bound states above the ionization energy that result from placing the system of interest within an infinite spherical well. Using photoionization of the hydrogen atom as an example, we demonstrate convergence between this approach for a large volume of confinement and an exact analytical alternate approach that uses energy-normalized continuum wavefunctions, which helps to elucidate the implementation of Fermi's Golden Rule. As the radius of confinement varies, the resulting changes in physical behavior of the system are presented and discussed. The photoionization cross-sections from a variety of atomic states with principal quantum number $n$ are seen to obey particular scaling laws.