统计复杂性和Fisher-Shannon信息应用
Statistical Complexity and Fisher-Shannon Information. Applications
摘要：
本章介绍了复杂性的统计度量和Fisher-Shannon信息积，并讨论了它们的性质。这些措施是基于香农信息之间的相互作用，或它的一个功能，和一个系统的可访问状态的集合从等概率分布的分离，即不平衡或费舍尔信息，分别。在离散和连续系统中的不同应用。其中一些与量子系统有关，从原型系统如H原子，谐振子和方阱到其他系统如He类离子，胡克原子或只是周期表。在所有这些，这些统计指标显示出一个有趣的行为，能够辨别和突出这些系统的一些构象特性。
英文摘要：
In this chapter, a statistical measure of complexity and the Fisher-Shannon information product are introduced and their properties are discussed. These measures are based on the interplay between the Shannon information, or a function of it, and the separation of the set of accessible states to a system from the equiprobability distribution, i.e. the disequilibrium or the Fisher information, respectively. Different applications in discrete and continuous systems are shown. Some of them are concerned with quantum systems, from prototypical systems such as the H-atom, the harmonic oscillator and the square well to other ones such as He-like ions, Hooke's atoms or just the periodic table. In all of them, these statistical indicators show an interesting behavior able to discern and highlight some conformational properties of those systems.
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