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

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 Shannon entropy for the position-dependent Schrödinger equation for a particle with a
nonuniform solitonic mass density is evaluated in the case of a trivial null potential. The …

We use the ansatz method to obtain the symmetric and antisymmetric solutions of a
hyperbolic double‐well potential by solving the Heun differential equation. The Shannon …

The Shannon information entropy for the Schrödinger equation with a nonuniform solitonic
mass is evaluated for a hyperbolic-type potential. The number of nodes of the wave …

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 …

We study the position S r and momentum S p Shannon entropies of the infinite circular well
and find that the S r increases with the radius R for a given m, but first increases and then …

The exact solutions to the Schrödinger equation with a hyperbolic potential are obtained.
The position S x and momentum S p Shannon information entropies for the low-lying states …

Shannon entropy for the position and momentum eigenstates of the symmetrically
trigonometric Rosen–Morse potential for the lower states n= 1–4 is evaluated. The position …

Shannon entropy for the position and momentum eigenstates of an asymmetric trigonometric
Rosen–Morse potential for the ground and first excited states is evaluated. The position and …