论文标题
二维密闭氢：熵和复杂性方法
Two-dimensional confined hydrogen: An entropy and complexity approach
论文作者
论文摘要
二维密闭氢原子的电子分布的位置和动量扩散是通过1S，2S，2P和3D量子状态的限制半径来研究一般多维限制量子系统的基本原型，该量子是通过数值研究的。首先，计算和讨论了香农熵和Fisher信息以及相关的不确定性关系。然后，检查并相互比较了Fisher-Shannon，LMC和LMC-Rényi复杂性度量。我们发现，这些熵和复杂量反映了两个共轭空间中电子限制范围的丰富特性。
The position and momentum spreading of the electron distribution of the two-dimensional confined hydrogenic atom, which is a basic prototype of the general multidimensional confined quantum systems, is numerically studied in terms of the confinement radius for the 1s, 2s, 2p and 3d quantum states by means of the main entropy and complexity information-theoretic measures. First, the Shannon entropy and the Fisher information as well as the associated uncertainty relations are computed and discussed. Then, the Fisher-Shannon, LMC and LMC-Rényi complexity measures are examined and mutually compared. We have found that these entropy and complexity quantities reflect the rich properties of the electron confinement extent in the two conjugated spaces.
