Position and momentum information entropies of the D-dimensional harmonic oscillator and hydrogen atom
The position-and momentum-space entropies of the isotropic harmonic oscillator and the
hydrogen atom in D dimensions are shown to be related to some entropy integrals which …
hydrogen atom in D dimensions are shown to be related to some entropy integrals which …
[HTML][HTML] Quantum information entropies and orthogonal polynomials
JS Dehesa, A Martı́nez-Finkelshtdein… - Journal of computational …, 2001 - Elsevier
This is a survey of the present knowledge on the analytical determination of the Shannon
information entropies for simple quantum systems: single-particle systems in central …
information entropies for simple quantum systems: single-particle systems in central …
Benchmark values of S hannon entropy for spherically confined hydrogen atom
LG Jiao, LR Zan, YZ Zhang… - International Journal of …, 2017 - Wiley Online Library
The information‐theoretic measure of confined hydrogen atom has been investigated
extensively in the literature. However, most of them were focused on the ground state and …
extensively in the literature. However, most of them were focused on the ground state and …
Information theory of D‐dimensional hydrogenic systems: Application to circular and Rydberg states
JS Dehesa, S López‐Rosa… - … Journal of Quantum …, 2010 - Wiley Online Library
The analytic information theory of quantum systems includes the exact determination of their
spatial extension or multidimensional spreading in both position and momentum spaces by …
spatial extension or multidimensional spreading in both position and momentum spaces by …
Information-theoretical analysis of Dirac and nonrelativistic quantum oscillators
An information-theoretical study of the Dirac oscillator and the usual quantum oscillator is
provided, in terms of the respective spatial densities. The comparative analysis is grounded …
provided, in terms of the respective spatial densities. The comparative analysis is grounded …
[PDF][PDF] Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials
The information entropy is explicitly obtained for the harmonic oscillator and the hydrogen
atom (Coulomb potential) in D dimensions (D= 1, 2, 3). It is shown how these entropies are …
atom (Coulomb potential) in D dimensions (D= 1, 2, 3). It is shown how these entropies are …
Correlation strength and information entropy
P Ziesche - International Journal of Quantum Chemistry, 1995 - Wiley Online Library
The correlation present in the nondegenerate ground state of an interacting Fermi system is
discussed in terms of reduced density matrices and their cumulant expansion. By …
discussed in terms of reduced density matrices and their cumulant expansion. By …
Fisher information study in position and momentum spaces for elementary chemical reactions
The utility of the Fisher information measure is analyzed to detect the transition state, the
stationary points of a chemical reaction, and the bond breaking/forming regions of …
stationary points of a chemical reaction, and the bond breaking/forming regions of …
Fisher-Shannon analysis of ionization processes and isoelectronic series
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 …
with the Shannon entropy is tested in its ability to quantify and compare the informational …
Fisher information and steric effect: Study of the internal rotation barrier of ethane
On the basis of a density-based quantification of the steric effect [Liu, SBJ Chem. Phys.
2007, 126, 244103], the origin of the internal rotation barrier between the eclipsed and …
2007, 126, 244103], the origin of the internal rotation barrier between the eclipsed and …