High Dimensional Atomic States of Hydrogenic Type: Heisenberg-like and Entropic Uncertainty Measures

JS Dehesa - Entropy, 2021 - mdpi.com
High dimensional atomic states play a relevant role in a broad range of quantum fields,
ranging from atomic and molecular physics to quantum technologies. The D-dimensional …

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 …

Two‐dimensional confined hydrogen: An entropy and complexity approach

CR Estañón, N Aquino… - … Journal of Quantum …, 2020 - Wiley Online Library
The position and momentum spreading of the electron distribution of the two‐dimensional
confined hydrogenic atom, which is a basic prototype of the general multidimensional …

[HTML][HTML] Monotone measures of statistical complexity

Ł Rudnicki, IV Toranzo, P Sánchez-Moreno, JS Dehesa - Physics Letters A, 2016 - Elsevier
We introduce and discuss the notion of monotonicity for the complexity measures of general
probability distributions, patterned after the resource theory of quantum entanglement. Then …

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 …

Information theoretic measures for interacting bosons in optical lattice

R Roy, B Chakrabarti, ND Chavda, ML Lekala - Physical Review E, 2023 - APS
This work reports the different information theoretic measures, ie, Shannon information
entropy, order, disorder, complexity, and their dynamical measure for the interacting bosons …

Collision entropy and optimal uncertainty

GM Bosyk, M Portesi, A Plastino - Physical Review A—Atomic, Molecular, and …, 2012 - APS
We propose an alternative measure of quantum uncertainty for pairs of arbitrary observables
in the two-dimensional case, in terms of collision entropies. We derive the optimal lower …

Information-theoretic measures for a position-dependent mass system in an infinite potential well

BG da Costa, IS Gomez - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
In this work we calculate the Cramér–Rao, the Fisher–Shannon and the López–Ruiz–
Mancini–Calbert (LMC) complexity measures for eigenstates of a deformed Schrödinger …

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 …

Shannon entropy, Fisher information and uncertainty relations for log-periodic oscillators

V Aguiar, I Guedes - Physica A: Statistical Mechanics and its Applications, 2015 - Elsevier
We calculate the time-dependent Shannon (S x and S p) entropy and Fisher (F x and F p)
information of three log-periodic oscillators. We obtain a general expression for S x, p and F …