Crámer‐Rao complexity of the confined two‐dimensional hydrogen,International Journal of Quantum Chemistry

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Crámer‐Rao complexity of the confined two‐dimensional hydrogen
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2020-09-10 , DOI: 10.1002/qua.26424
Carlos R. Estañón ₁ , Norberto Aquino ₁ , David Puertas-Centeno ₂ , Jesus S. Dehesa _{3,

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Affiliation

The internal disorder of the confined two‐dimensional hydrogenic atom is numerically studied in terms of the confinement radius for the 1s, 2s, 2p, and 3d 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 these two component measures.

中文翻译：

受限二维氢的Crámer-Rao复杂度

从1 s，2 s，2 p和3 d的约束半径的角度对二维受限氢原子的内部无序进行了数值研究统计Crámer-Rao复杂性度量的量子态。首先，计算并讨论了方差的约束相关性以及电子分布的位置和动量扩展的Fisher信息。然后，在位置和动量空间中研究了Crámer-Rao复杂度度量（该度量量化了平均值附近的电荷浓度和电子分布的梯度含量的组合平衡）。我们发现，通过这两个分量测度，限制确实区分了所有量子态的系统复杂性。

更新日期：2020-09-10

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