Fisher–Shannon plane and statistical complexity of atoms

JC Angulo, J Antolín, KD Sen - Physics Letters A, 2008 - Elsevier
Using the Hartree–Fock non-relativistic wave functions in the position and momentum
spaces, the statistical measure of complexity C, due to López-Ruiz, Mancini, and Calbet for …

Atomic complexity measures in position and momentum spaces

JC Angulo, J Antolín - The Journal of chemical physics, 2008 - pubs.aip.org
Fisher–Shannon (FS) and López-Ruiz, Mancini, and Calbet (LMC) complexity measures,
detecting not only randomness but also structure, are computed by using near Hartree–Fock …

Fisher-Shannon analysis of ionization processes and isoelectronic series

KD Sen, J Antolín, JC Angulo - Physical Review A—Atomic, Molecular, and …, 2007 - APS
The Fisher-Shannon plane which embodies the Fisher information measure in conjunction
with the Shannon entropy is tested in its ability to quantify and compare the informational …

Electron‐pair entropic and complexity measures in atomic systems

S López‐Rosa, AL Martín, J Antolín… - International Journal of …, 2019 - Wiley Online Library
The two‐electron atomic densities are analyzed in both position and momentum spaces in
terms of different information‐theoretic measures, such as disequilibrium, Shannon entropy …

Fisher and Jensen–Shannon divergences: Quantitative comparisons among distributions. Application to position and momentum atomic densities

J Antolín, JC Angulo, S López-Rosa - The Journal of chemical physics, 2009 - pubs.aip.org
The Fisher divergence (FD) and Jensen–Shannon divergence (JSD) are used in this work
with the aim of providing quantitative measures of the discrepancies between two arbitrary D …

High-order entropy measures and spin-free quantum entanglement for molecular problems

AV Luzanov, OV Prezhdo - Molecular Physics, 2007 - Taylor & Francis
A new entropy measure is proposed for the molecular electronic structure theory. The
corresponding many-electron, Shannon-like measure reflects quantum entanglement …

Rényi information of atoms

E Romera, A Nagy - Physics Letters A, 2008 - Elsevier
Position and momentum space Rényi information of order α has been studied within a
Hartree–Fock framework for 103 neutral atoms, 54 singly charged cations and 43 anions in …

Complexity analysis of ionization processes and isoelectronic series

J Antolín, JC Angulo - International Journal of Quantum …, 2009 - Wiley Online Library
Abstract Information‐theoretic magnitudes measuring randomness (Shannon entropy,
exponential entropy, power entropy), spread (variance), localization (disequilibrium or self …

Statistical complexity and Fisher–Shannon information measure of H+ 2

HE Montgomery Jr, KD Sen - Physics Letters A, 2008 - Elsevier
Using the simple Coulson molecular wave function for the ground state H+ 2 molecule as a
function of internuclear distance, the first molecular calculations of (a) the statistical …

Generalized quantum similarity index: An application to pseudoharmonic oscillator with isospectral potentials in 3D

P Ghosh, D Nath - International Journal of Quantum Chemistry, 2021 - Wiley Online Library
Exact solutions of a pseudoharmonic oscillator and a family of isospectral potentials are
investigated in spherical coordinates. The entropic moment, generalized quantum similarity …