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

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 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 particle in a symmetrical squared tangent potential well is studied by examining its
Shannon information entropy and standard deviations. The position and momentum …

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 …

We calculated the Shannon entropy of position and momentum for the stationary quantum
states of the harmonic oscillator as a function of its energy and determined the …

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 …

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 …