Elvira Romera

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A new correlation measure, the product of the Shannon entropy power and the Fisher information of the electron density, is introduced by analyzing the Fisher-Shannon information plane of some two-electron systems (He-like ions, Hooke's atoms). The uncertainty and scaling properties of this information product are pointed out. In addition, the Fisher and(More)
Our aim in this paper is twofold. First, to find the necessary and sufficient conditions to be satisfied by a given sequence of real numbers ͕␻ n ͖ nϭ0 ϱ to represent the ''entropic moments'' ͐ [0,a] ͓␳(x)͔ n dx of an unknown non-negative, decreasing and differentiable ͑a.e.͒ density function ␳(x) with a finite interval support. These moments are called(More)
A self-consistent mean-field method is used to study critical wetting transitions under nonequilibrium conditions by analyzing Kardar-Parisi-Zhang (KPZ) interfaces in the presence of a bounding substrate. In the case of positive KPZ nonlinearity a single (Gaussian) regime is found. On the contrary, interfaces corresponding to negative nonlinearities lead to(More)
A two-parameter family of complexity measures C ˜ ͑␣,␤͒ based on the Rényi entro-pies is introduced and characterized by a detailed study of its mathematical properties. This family is the generalization of a continuous version of the Lopez-Ruiz– Mancini–Calbet complexity, which is recovered for ␣ = 1 and ␤ = 2. These complexity measures are obtained by(More)
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(More)
Several D-dimensional uncertainty-like relationships for N-body systems are obtained by means of the Fisher's information entropies in position and momentum spaces and the Stam's uncertainty principle. In addition, these relationships, the Fisher's entropies and the Stam's inequality are analysed numerically for all ground state neutral atoms from hydrogen(More)
We obtain a characterization of quantum shape-phase transitions in the terms of complexity measures in the two-dimensional limit of the vibron model based on the spectrum generating algebra U(3). Complexity measures (in terms of the Rényi entropies) have been calculated for different values of the control parameter for the ground state of this model giving(More)
Structural characteristics of the spherically averaged internally folded density or reciprocal form factor Br are studied within the Hartree-Fock framework for 103 neutral atoms, 54 singly charged cations, and 43 anions in their ground state. The function Br is classified throughout the Periodic Table into three types: (i) monotonic decrease from the(More)
Wave-packet fractional revivals is a relevant feature in the long time-scale evolution of a wide range of physical systems, including atoms, molecules, and nonlinear systems. We show that the sum of information entropies in both position and momentum conjugate spaces is an indicator of fractional revivals by analyzing three different model systems: (i) the(More)