The Fisher information of single-particle systems with a central potential

E Romera, P Sánchez-Moreno, JS Dehesa - Chemical physics letters, 2005 - Elsevier
The Fisher information of single-particle systems with a central potential, which is a gradient
functional of their quantum-mechanical probability density, is studied in detail in the position …

Characteristic features of Shannon information entropy of confined atoms

KD Sen - The Journal of chemical physics, 2005 - pubs.aip.org
The Shannon information entropy of 1-normalized electron density in position and
momentum space S r and S p⁠, and the sum ST⁠, respectively, are reported for the ground …

Dispersion and entropy-like measures of multidimensional harmonic systems: application to Rydberg states and high-dimensional oscillators

JS Dehesa, IV Toranzo - The European Physical Journal Plus, 2020 - Springer
The spreading properties of the stationary states of the quantum multidimensional harmonic
oscillator are analytically discussed by means of the main dispersion measures (radial …

Entropy-like properties and L q-norms of hypergeometric orthogonal polynomials: Degree asymptotics

JS Dehesa - Symmetry, 2021 - mdpi.com
In this work, the spread of hypergeometric orthogonal polynomials (HOPs) along their
orthogonality interval is examined by means of the main entropy-like measures of their …

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 …

Investigation of quantum information theory with the screened modified Kratzer and a class of Yukawa potential model

EP Inyang, E Omugbe, M Abu-shady… - The European Physical …, 2023 - Springer
In this research, the screened modified Kratzer potential plus class of Yukawa potential with
the Schrodinger equation is solved using the Nikiforov-Uvarov method to determine the …

Information-theoretic measures for Morse and Pöschl–Teller potentials

JS Dehesa, A Martínez-Finkelshtein… - Molecular Physics, 2006 - Taylor & Francis
The spreading of the quantum-mechanical probability cloud for the ground state of the
Morse and modified Pöschl–Teller potentials, which controls the chemical and physical …

[HTML][HTML] Shannon entropy and Fisher information for endohedral confined one-and two-electron atoms

C Martínez-Flores - Physics Letters A, 2021 - Elsevier
In this work, we study the Shannon entropy and Fisher information of the H, He, Li+, and Be
2+ atoms confined by a C 60 cavity. The fullerene cavity is described by three model …

[HTML][HTML] Quantum information entropies for a squared tangent potential well

S Dong, GH Sun, SH Dong, JP Draayer - Physics Letters A, 2014 - Elsevier
The particle in a symmetrical squared tangent potential well is studied by examining its
Shannon information entropy and standard deviations. The position and momentum …

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 …