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 …
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 …
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 …
confined hydrogenic atom, which is a basic prototype of the general multidimensional …
[HTML][HTML] Monotone measures of statistical complexity
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 …
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 …
entropies) of the three‐dimensional single‐particle systems in a spherically symmetric …
Information theoretic measures for interacting bosons in optical lattice
This work reports the different information theoretic measures, ie, Shannon information
entropy, order, disorder, complexity, and their dynamical measure for the interacting bosons …
entropy, order, disorder, complexity, and their dynamical measure for the interacting bosons …
Collision entropy and optimal uncertainty
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 …
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 …
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 …
momentum spaces describe not only some fundamental and/or experimentally accessible …
Shannon entropy, Fisher information and uncertainty relations for log-periodic oscillators
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 …
information of three log-periodic oscillators. We obtain a general expression for S x, p and F …