C. Panos

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Shannon information entropies in position and momentum spaces and their sum are calculated as functions of Z(2 < or = Z < or = 54) in atoms. Roothaan-Hartree-Fock electron wave functions are used. The universal property S = a + b ln Z is verified. In addition, we calculate the Kullback-Leibler relative entropy, the Jensen-Shannon divergence, Onicescu's(More)
Comparison of SDL and LMC measures of complexity: Atoms as a testbed. Abstract The simple measure of complexity Γ α,β of Shiner, Davison and Landsberg (SDL) and the statistical one C, according to López-Ruiz, Mancini and Calbet (LMC), are compared in atoms as functions of the atomic number Z. Shell effects i.e. local minima at the closed shells atoms are(More)
The net Fisher information measure I T , defined as the product of position and momentum Fisher information measures I r and I k and derived from the non-relativistic Hartree-Fock wave functions for atoms with Z = 1−102, is found to correlate well with the inverse of the experimental ionization potential. Strong direct correlations of I T are also reported(More)
We apply the statistical measure of complexity, introduced by López-Ruiz, Mancini, and Calbet (LMC), to uniform Fermi systems. We investigate the connection between information and complexity measures with the strongly correlated behavior of various Fermi systems as nuclear matter, electron gas, and liquid helium. We examine the possibility that LMC(More)
The information entropy of a nuclear density distribution is calculated for a number of nuclei. Various phenomenological models for the density distribution using different geometry are employed. Nuclear densities calculated within various microscopic mean field approaches are also employed. It turns out that the entropy increases on going from crude(More)
An overview of the Bose-Einstein condensation of correlated atoms in a trap is presented by examining the effect of interparticle correlations to one-and two-body properties of the above systems at zero temperature in the framework of the lowest order cluster expansion. Analytical expressions for the one-and two-body properties of the Bose gas are derived(More)