Titlebook: Statistical Complexity; Applications in Elec K.D. Sen Book 2011 Springer Science+Business Media B.V. 2011 Complexity.Electronic structure c

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Atomic Statistical Complexity,resented using the Hartree-Fock density in position and momentum space. Interesting correlations with the experimental properties such as the ionization potential and static dipole polarizability are reported using the information measures. The statistical complexity analysis reveals interesting ins

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Statistical Complexity and Fisher-Shannon Information: Applications,se 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 c

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Entropy and Complexity Analyses of ,-dimensional Quantum Systems,sition and momentum spaces. The main concepts of this theory are the power and entropic moments, which are very fertile largely because of their flexibility and multiple interpretations. They are used here to study the most relevant information-theoretic one-element (Fisher, Shannon, Rényi, Tsallis)

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Scaling Properties of Net Information Measures for Bound States of Spherical Model Potentials,ral . information theoretical measures, the scaling properties of the various information theoretical . relationships are derived for the bound states corresponding to a set of non-relativistic spherical model potentials, .(.). The potentials considered are described by (1) adding ./.. term to (i) t

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Chemical Information from Information Discrimination and Relative Complexity,cal information. The functional form of the Kullback-Leibler relative information measure permitted the construction of density functionals, which along with the choice of a good reference density, for example, noble gas elements, is shown to reveal the periodicity in Mendeleev’s table. Similarly, t

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Statistical Complexity and Fisher-Shannon Information: Applications,d 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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Entropy and Complexity Analyses of ,-dimensional Quantum Systems,n and momentum probability densities farther beyond the standard deviation. We first apply them to general systems, then to single particle systems in central potentials and, finally, to hydrogenic systems in .-dimensions.

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