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 …

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 …

[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 …

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 …

Nonrelativistic Shannon information entropy for Kratzer potential

SA Najafizade, H Hassanabadi… - Chinese Physics …, 2016 - iopscience.iop.org
The Shannon information entropy is investigated within the nonrelativistic framework. The
Kratzer potential is considered as the interaction and the problem is solved in a quasi-exact …

Entropic measures of Rydberg‐like harmonic states

JS Dehesa, IV Toranzo… - International Journal of …, 2017 - Wiley Online Library
The Shannon entropy, the desequilibrium and their generalizations (Rényi and Tsallis
entropies) of the three‐dimensional single‐particle systems in a spherically symmetric …

Analytical Shannon information entropies for all discrete multidimensional hydrogenic states

IV Toranzo, D Puertas‐Centeno… - … Journal of Quantum …, 2020 - Wiley Online Library
The entropic uncertainty measures of the multidimensional hydrogenic states quantify the
multiple facets of the spatial delocalization of the electronic probability density of the system …

The Shannon entropy of high‐dimensional hydrogenic and harmonic systems

JS Dehesa, ED Belega, IV Toranzo… - … Journal of Quantum …, 2019 - Wiley Online Library
There exists an increasing interest on the dimensionality dependence of the entropic
properties for the stationary states of the multidimensional quantum systems in order to …

Differential entropy and dynamics of uncertainty

P Garbaczewski - Journal of Statistical Physics, 2006 - Springer
We analyze the functioning of Gibbs-type entropy functionals in the time domain, with
emphasis on Shannon and Kullback-Leibler entropies of time-dependent continuous …