Information‐theoretic approach in density functional theory and its recent applications to chemical problems

C Rong, B Wang, D Zhao, S Liu - Wiley Interdisciplinary …, 2020 - Wiley Online Library
Using simple functionals of the electron density to appreciate and quantify molecular
structure and chemical reactivity properties is a recent endeavor in density functional theory …

Understanding electronic structure and chemical reactivity: Quantum-information perspective

RF Nalewajski - Applied Sciences, 2019 - mdpi.com
Several applications of quantum mechanics and information theory to chemical reactivity
problems are presented with emphasis on equivalence of variational principles for the …

3D Information-Theoretic Analysis of the Simplest Hydrogen Abstraction Reaction

RO Esquivel, M Molina-Espíritu… - The Journal of Physical …, 2023 - ACS Publications
We investigate the course of an elementary chemical reaction from the perspective of
information theory in 3 D space through the hypersurface of several information-theoretic (IT) …

The confined helium atom: An information–theoretic approach

CR Estañon, HE Montgomery Jr… - … Journal of Quantum …, 2024 - Wiley Online Library
In this article, we study the helium atom confined in a spherical impenetrable cavity by using
informational measures. We use the Ritz variational method to obtain the energies and wave …

Information-theoretical analysis of Dirac and nonrelativistic quantum oscillators

I López-García, AJ Macías, S López-Rosa, JC Angulo - Physical Review A, 2023 - APS
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 …

Information entropy and complexity measure in generalized Kratzer potential

S Majumdar, N Mukherjee, AK Roy - Chemical Physics Letters, 2019 - Elsevier
Shannon entropy (S), Fisher information (I) and a measure equivalent to Fisher-Shannon
complexity (C IS) of a ro-vibrational state of diatomic molecules (O 2, O 2+, NO, NO+) with …

Quantum information of the modified Mobius squared plus Eckart potential

IJ Njoku, E Onyeocha, CP Onyenegecha… - … Journal of Quantum …, 2023 - Wiley Online Library
The quantum information measures and complexity of the modified Mobius squared plus
Eckart (MMSE) potential are presented in this paper. First, the energy eigenvalues and wave …

Fisher information and steric effect: Study of the internal rotation barrier of ethane

RO Esquivel, S Liu, JC Angulo, JS Dehesa… - The Journal of …, 2011 - ACS Publications
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 …

Differential Shannon entropies and correlation measures for Born–Oppenheimer electron–nuclear dynamics: numerical results and their analytical interpretation

P Schürger, V Engel - Physical Chemistry Chemical Physics, 2023 - pubs.rsc.org
We study the Born–Oppenheimer dynamics within a model for a coupled electron–nuclear
motion. Differential Shannon entropies are calculated from the time-dependent probability …

A quantum uncertainty relation based on Fisher's information

P Sánchez-Moreno, AR Plastino… - Journal of Physics A …, 2011 - iopscience.iop.org
We explore quantum uncertainty relations involving the Fisher information functionals I x and
I p evaluated, respectively, on a wavefunction Ψ (x) defined on a D-dimensional …