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 …
Eigensolution techniques, their applications and Fisherʼs information entropy of the Tietz–Wei diatomic molecular model
In this study, the approximate analytical solutions of Schrödinger, Klein–Gordon and Dirac
equations under the Tietz–Wei (TW) diatomic molecular potential are represented by using …
equations under the Tietz–Wei (TW) diatomic molecular potential are represented by using …
[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 …
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 …