Higher dimensional theories have attracted much attention because they make it possible to
reduce much of physics in a concise, elegant fashion that unifies the two great theories of …

A new correlation measure, the product of the Shannon entropy power and the Fisher
information of the electron density, is introduced by analyzing the Fisher–Shannon …

We find an exact series solution for the steady-state probability distribution of a harmonically
trapped active Brownian particle in two dimensions in the presence of translational diffusion …

The spreading properties of the stationary states of the quantum multidimensional harmonic
oscillator are analytically discussed by means of the main dispersion measures (radial …

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 …

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 …

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 …

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 …

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 …

In this work we have studied the Shannon information entropy for two hyperbolic single-well
potentials in the fractional Schrödinger equation (the fractional derivative number (0< n≤ 2) …