Information‐entropic measures in free and confined hydrogen atom

N Mukherjee, AK Roy - International Journal of Quantum …, 2018 - Wiley Online Library
Shannon entropy (S), Rényi entropy (R), Tsallis entropy (T), Fisher information (I), and
Onicescu energy (E) have been explored extensively in both free H atom (FHA) and …

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 …

Exactly Complete Solutions of the Pseudoharmonic Potential in N-Dimensions

KJ Oyewumi, FO Akinpelu, AD Agboọla - International Journal of …, 2008 - Springer
We present analytically the exact solutions of the Schrödinger equation in the N-dimensional
spaces for the pseudoharmonic oscillator potential by means of the ansatz method. The …

[HTML][HTML] Fisher information for the position-dependent mass Schrödinger system

BJ Falaye, FA Serrano, SH Dong - Physics Letters A, 2016 - Elsevier
This study presents the Fisher information for the position-dependent mass Schrödinger
equation with hyperbolic potential V (x)=− V 0 csch 2 (ax). The analysis of the quantum …

Eigensolution techniques, their applications and Fisherʼs information entropy of the Tietz–Wei diatomic molecular model

BJ Falaye, KJ Oyewumi, SM Ikhdair… - Physica Scripta, 2014 - iopscience.iop.org
In this study, the approximate analytical solutions of Schrödinger, Klein–Gordon and Dirac
equations under the Tietz–Wei (TW) diatomic molecular potential are represented by using …

Cramér–Rao, Fisher–Shannon and LMC–Rényi complexity-like measures of multidimensional hydrogenic systems with application to Rydberg states

JS Dehesa - Quantum Reports, 2023 - mdpi.com
Statistical measures of complexity hold significant potential for applications in D-dimensional
finite fermion systems, spanning from the quantification of the internal disorder of atoms 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 …

The Fisher-information-based uncertainty relation, Cramer–Rao inequality and kinetic energy for the D-dimensional central problem

JS Dehesa, R González-Férez… - Journal of Physics A …, 2007 - iopscience.iop.org
The inequality, with L being the grand orbital quantum number, and its conjugate relation for
(⟨ r 2⟩,⟨ p− 2⟩) are shown to be fulfilled in the D-dimensional central problem. Their use …

Uncertainty relation for Fisher information of D-dimensional single-particle systems with central potentials

E Romera, P Sánchez-Moreno… - Journal of mathematical …, 2006 - pubs.aip.org
An uncertainty Fisher information relation in quantum mechanics is derived for
multidimensional single-particle systems with central potentials. It is based on the concept of …

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 …