一种计算原子信息量和复杂性的简单方法。关于可扩展性的建议
A simple method for the evaluation of the information content and complexity in atoms. A proposal for scalability
摘要：
我们提出了一种非常简单的方法来计算原子中的Shannon、Fisher、Onicescu和Tsallis熵，以及SDL和LMC复杂性度量，作为原子序数Z的函数。分数占据概率的电子在原子轨道，而不是更复杂的连续电子的概率密度的位置和动量空间，使用到目前为止在文献中。我们的主要结论是兼容的结果更复杂的方法和相关的实验数据相当。我们得到的Tsallis熵指数的值q=1.031，这表明原子是非常接近的外延。一个实用的方法对系统的复杂性的量化的可扩展性与更多的组件比原子。我们还讨论了原子电子结构的复杂性是否随Z的增加而增加的问题。在原子中计算了一对有序无序指数（PODI），它可以被引入到任何量子多体系统中。我们的结论是“原子是有序的系统，其复杂性不会随着Z的增加而增加”。
英文摘要：
We present a very simple method for the calculation of Shannon, Fisher, Onicescu and Tsallis entropies in atoms, as well as SDL and LMC complexity measures, as functions of the atomic number Z. Fractional occupation probabilities of electrons in atomic orbitals are employed, instead of the more complicated continuous electron probability densities in position and momentum spaces, used so far in the literature. Our main conclusions are compatible with the results of more sophisticated approaches and correlate fairly with experimental data. We obtain for the Tsallis entropic index the value q=1.031, which shows that atoms are very close to extensivity. A practical way towards scalability of the quantification of complexity for systems with more components than the atom is indicated. We also discuss the issue if the complexity of the electronic structure of atoms increases with Z. A Pair of Order-Disorder Indices (PODI), which can be introduced for any quantum many-body system, is evaluated in atoms. We conclude that "atoms are ordered systems, which do not grow in complexity as Z increases".
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