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 …

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 …

Quantum information‐theoretic measures for the static screened Coulomb potential

CN Isonguyo, KJ Oyewumi… - International Journal of …, 2018 - Wiley Online Library
In this research work, the quantum information‐theoretic analysis of the static screened
Coulomb potential has been carried out by studying both analytically and numerically the …

Information theoretic measures in one-dimensional Dunkl oscillator

D Nath, N Ghosh, AK Roy - Journal of Mathematical Physics, 2024 - pubs.aip.org
We consider the solution of one dimensional Schrödinger Dunkl equation for energies and
eigenfunctions. Then we provide analytical expressions for various information theoretic …

Localization effect on Rényi complexity of Kratzer potential in the presence of Aharonov‐Bohm field

P Ghosh, D Nath - International Journal of Quantum Chemistry, 2021 - Wiley Online Library
Exact wave functions are obtained for noncentral Kratzer potential in the presence of
Aharonov‐Bohm flux field in terms of associate Laguerre and Jacobi polynomials. The exact …

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 …

An introduction to analysis of Rényi complexity ratio of quantum states for central potential

D Nath - International Journal of Quantum Chemistry, 2022 - Wiley Online Library
Rényi complexity ratio of two density functions is introduced for three and multidimensional
quantum systems. Localization property of several density functions are defined and five …

Asymptotics of Lp-norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states

AI Aptekarev, JS Dehesa, P Sánchez-Moreno… - Contemp …, 2012 - books.google.com
The asymptotics of the weighted Lp-norms of Hermite polynomials, which describes the
Rényi entropy of order p of the associated quantum oscillator probability density, is …

Complexity-like properties and parameter asymptotics of -norms of Laguerre and Gegenbauer polynomials

JS Dehesa, N Sobrino - arXiv preprint arXiv:2108.07214, 2021 - arxiv.org
The main monotonic statistical complexity-like measures of the Rakhmanov's probability
density associated to the hypergeometric orthogonal polynomials (HOPs) in a real …

Generalized quantum similarity index: An application to pseudoharmonic oscillator with isospectral potentials in 3D

P Ghosh, D Nath - International Journal of Quantum Chemistry, 2021 - Wiley Online Library
Exact solutions of a pseudoharmonic oscillator and a family of isospectral potentials are
investigated in spherical coordinates. The entropic moment, generalized quantum similarity …