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 …

Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: New route to nonextensive thermostatistics

P Jizba, G Lambiase, GG Luciano, L Petruzziello - Physical Review D, 2023 - APS
We study coherent states associated with a generalized uncertainty principle (GUP). We
separately analyze the cases of positive and negative deformation parameter β, showing …

Cramér–Rao, Fisher–Shannon and LMC–Rényi complexity-like measures of multidimensional hydrogenic systems with application to Rydberg states

JS Dehesa - Quantum Reports, 2023 - mdpi.com
Statistical measures of complexity hold significant potential for applications in D-dimensional
finite fermion systems, spanning from the quantification of the internal disorder of atoms and …

Suppressing measurement uncertainty in an inhomogeneous spin star system

S Haddadi, M Ghominejad, A Akhound… - Scientific Reports, 2021 - nature.com
The uncertainty principle is known as a foundational element of quantum theory, providing a
striking lower bound to quantify our prediction for the measured result of two incompatible …

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 …

Entropic uncertainty measures for large dimensional hydrogenic systems

D Puertas-Centeno, NM Temme, IV Toranzo… - Journal of …, 2017 - pubs.aip.org
The entropic moments of the probability density of a quantum system in position and
momentum spaces describe not only some fundamental and/or experimentally accessible …

Entropic properties of D-dimensional Rydberg systems

IV Toranzo, D Puertas-Centeno, JS Dehesa - Physica A: Statistical …, 2016 - Elsevier
The fundamental information-theoretic measures (the Rényi R p [ρ] and Tsallis T p [ρ]
entropies, p> 0) of the highly-excited (Rydberg) quantum states of the D-dimensional (D> 1) …

Rényi, Shannon and Tsallis entropies of Rydberg hydrogenic systems

IV Toranzo, JS Dehesa - Europhysics Letters, 2016 - iopscience.iop.org
The Rényi entropies $ R_ {p}[\rho], 0< p<\infty $ of the probability density $\rho_ {n, l, m}(\vec
{r\,}) $ of a physical system completely characterize the chemical and physical properties of …

Rényi entropies of the highly-excited states of multidimensional harmonic oscillators by use of strong Laguerre asymptotics

AI Aptekarev, DN Tulyakov, IV Toranzo… - The European Physical …, 2016 - Springer
The Rényi entropies R p [ρ], p> 0,≠ 1 of the highly-excited quantum states of the D-
dimensional isotropic harmonic oscillator are analytically determined by use of the strong …

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 …