论文标题
二维关闭氢的Crámer-rao复杂性
Crámer-Rao complexity of the two-dimensional confined hydrogen
论文作者
论文摘要
The internal disorder of the two-dimensional confined hydrogenic atom is numerically studied in terms of the confinement radius for the 1\textit{s}, 2\textit{s}, 2\textit{p} and 3\textit{d} quantum states by means of the statistical Crámer-Rao complexity measure.首先，计算和讨论了其电子分布的位置和动量传播的方差和渔民信息的限制。然后，在位置和动量空间中研究了Crámer-Rao复杂度度量（量化了平均值和电子分布的梯度含量周围的电荷浓度的组合平衡）。我们发现，限制确实通过这两个组件度量来区分所有量子状态的系统的复杂性。
The internal disorder of the two-dimensional confined hydrogenic atom is numerically studied in terms of the confinement radius for the 1\textit{s}, 2\textit{s}, 2\textit{p} and 3\textit{d} quantum states by means of the statistical Crámer-Rao complexity measure. First, the confinement dependence of the variance and the Fisher information of the position and momentum spreading of its electron distribution are computed and discussed. Then, the Crámer-Rao complexity measure (which quantifies the combined balance of the charge concentration around the mean value and the gradient content of the electron distribution) is investigated in position and momentum spaces. We found that confinement does distinguish complexity of the system for all quantum states by means of this two component measure.
