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 …
oscillator are analytically discussed by means of the main dispersion measures (radial …
Entropy-like properties and L q-norms of hypergeometric orthogonal polynomials: Degree asymptotics
JS Dehesa - Symmetry, 2021 - mdpi.com
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 …
orthogonality interval is examined by means of the main entropy-like measures of their …
[HTML][HTML] Quantum information entropies and orthogonal polynomials
JS Dehesa, A Martı́nez-Finkelshtdein… - Journal of computational …, 2001 - Elsevier
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 …
information entropies for simple quantum systems: single-particle systems in central …
Quantum information entropies for position-dependent mass Schrödinger problem
G Yañez-Navarro, GH Sun, T Dytrych, KD Launey… - Annals of Physics, 2014 - Elsevier
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 …
nonuniform solitonic mass density is evaluated in the case of a trivial null potential. The …
Shannon information entropy for a hyperbolic double‐well potential
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 …
hyperbolic double‐well potential by solving the Heun differential equation. The Shannon …
[HTML][HTML] Quantum information entropies for a squared tangent potential well
The particle in a symmetrical squared tangent potential well is studied by examining its
Shannon information entropy and standard deviations. The position and momentum …
Shannon information entropy and standard deviations. The position and momentum …
Shannon information entropies for position-dependent mass Schrödinger problem with a hyperbolic well
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 …
mass is evaluated for a hyperbolic-type potential. The number of nodes of the wave …
Entropic uncertainty relations for a quantum oscillator
V Majernik, T Opatrný - Journal of Physics A: Mathematical and …, 1996 - iopscience.iop.org
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 …
states of the harmonic oscillator as a function of its energy and determined the …
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 …
spatial extension or multidimensional spreading in both position and momentum spaces by …
[HTML][HTML] Shannon information entropy for an infinite circular well
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 …
and find that the S r increases with the radius R for a given m, but first increases and then …