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 …

[HTML][HTML] 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 …

Eigen solutions and entropic system for Hellmann potential in the presence of the Schrödinger equation

CA Onate, MC Onyeaju, AN Ikot… - The European Physical …, 2017 - Springer
By using the supersymmetric approach, we studied the approximate analytic solutions of the
three-dimensional Schrödinger equation with the Hellmann potential by applying a suitable …

Position and momentum information‐theoretic measures of the pseudoharmonic potential

WA Yahya, KJ Oyewumi, KD Sen - International Journal of …, 2015 - Wiley Online Library
In this study, the information‐theoretic measures in both the position and momentum spaces
for the pseudoharmonic potential using Fisher information, Shannon entropy, Renyi entropy …

Entropic measures of Rydberg‐like harmonic states

JS Dehesa, IV Toranzo… - International Journal of …, 2017 - Wiley Online Library
The Shannon entropy, the desequilibrium and their generalizations (Rényi and Tsallis
entropies) of the three‐dimensional single‐particle systems in a spherically symmetric …

Analytical Shannon information entropies for all discrete multidimensional hydrogenic states

IV Toranzo, D Puertas‐Centeno… - … Journal of Quantum …, 2020 - Wiley Online Library
The entropic uncertainty measures of the multidimensional hydrogenic states quantify the
multiple facets of the spatial delocalization of the electronic probability density of the system …

Fisher and Shannon information entropies for a noncentral inversely quadratic plus exponential Mie-type potential

IB Okon, CN Isonguyo, AD Antia, AN Ikot… - … in Theoretical Physics, 2020 - iopscience.iop.org
In this work, we determine the Fisher and Shannon entropies, the expectation values and
the squeeze state for a noncentral inversely quadratic plus exponential Mie-type potential …

Entropy, Fisher Information and Variance with Frost-Musulin Potenial

JOA Idiodi, CA Onate - Communications in Theoretical Physics, 2016 - iopscience.iop.org
This study presents the Shannon and Renyi information entropy for both position and
momentum space and the Fisher information for the position-dependent mass Schrödinger …

Rényi entropies, Lq norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions

P Sánchez-Moreno, JS Dehesa, A Zarzo… - Applied Mathematics and …, 2013 - Elsevier
The quantification of the spreading of the orthogonal polynomials pn (x) can be investigated
by means of the Rényi entropies R q [ρ], q being a positive integer number, of the associated …

[HTML][HTML] Spreading lengths of Hermite polynomials

P Sánchez-Moreno, JS Dehesa, D Manzano… - Journal of computational …, 2010 - Elsevier
The Renyi, Shannon and Fisher spreading lengths of the classical or hypergeometric
orthogonal polynomials, which are quantifiers of their distribution all over the orthogonality …