Information geometric methods for complexity
Describing and, to a certain extent, understanding the concept of complexity has been
investigated in a variety of research fields. Various ad hoc formal definitions and …
investigated in a variety of research fields. Various ad hoc formal definitions and …
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 …
Informational energy as a measure of electron correlation
N Flores-Gallegos - Chemical Physics Letters, 2016 - Elsevier
Informational energy as a measure of electron correlation - ScienceDirect Skip to main
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Information-theoretic features of many fermion systems: An exploration based on exactly solvable models
AR Plastino, D Monteoliva, A Plastino - Entropy, 2021 - mdpi.com
Finite quantum many fermion systems are essential for our current understanding of Nature.
They are at the core of molecular, atomic, and nuclear physics. In recent years, the …
They are at the core of molecular, atomic, and nuclear physics. In recent years, the …
Entropy and Complexity Analyses of D-dimensional Quantum Systems
This chapter briefly reviews the present knowledge about the analytic information theory of
quantum systems with non-standard dimensionality in the position and momentum spaces …
quantum systems with non-standard dimensionality in the position and momentum spaces …
Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box
D Nath, R Carbó-Dorca - Journal of Mathematical Chemistry, 2022 - Springer
Three sets of exact solutions of the time-dependent Schrödinger equation of a particle that is
trapped in a spherical box with a moving boundary wall have been calculated analytically …
trapped in a spherical box with a moving boundary wall have been calculated analytically …
Information-theoretic measures of hydrogen-like ions in weakly coupled Debye plasmas
LR Zan, LG Jiao, J Ma, YK Ho - Physics of Plasmas, 2017 - pubs.aip.org
Recent development of information theory provides researchers an alternative and useful
tool to quantitatively investigate the variation of the electronic structure when atoms interact …
tool to quantitatively investigate the variation of the electronic structure when atoms interact …
Statistical Quantifiers Resolve a Nuclear Theory Controversy
D Monteoliva, A Plastino, AR Plastino - Quantum Reports, 2022 - mdpi.com
We deal here with an exactly solvable N-nucleon system that has been used to mimic typical
features of quantum many-body systems. There is in the literature some controversy …
features of quantum many-body systems. There is in the literature some controversy …
Complexity-like properties and parameter asymptotics of -norms of Laguerre and Gegenbauer polynomials
The main monotonic statistical complexity-like measures of the Rakhmanov's probability
density associated to the hypergeometric orthogonal polynomials (HOPs) in a real …
density associated to the hypergeometric orthogonal polynomials (HOPs) in a real …
Quasi-Magical Fermion Numbers and Thermal Many-Body Dynamics
A Plastino, D Monteoliva, AR Plastino - Axioms, 2023 - mdpi.com
This work scrutinizes, using statistical mechanics indicators, important traits displayed by
quantum many-body systems. Our statistical mechanics quantifiers are employed, in the …
quantum many-body systems. Our statistical mechanics quantifiers are employed, in the …