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 …

Entropy and information of a spinless charged particle in time-varying magnetic fields

V Aguiar, I Guedes - Journal of Mathematical Physics, 2016 - pubs.aip.org
We calculate the Fisher information (F r and F p) and the Shannon entropies (S r and S p) of
a spinless charged particle in three different configurations of time-varying magnetic field, B …

Fisher information and Shannon entropy of position-dependent mass oscillators

DX Macedo, I Guedes - Physica A: Statistical Mechanics and its …, 2015 - Elsevier
We calculate the Fisher information and the Shannon entropy for three position-dependent
mass oscillators. These systems can be seen as deformed harmonic oscillators in the sense …

Higher-order statistical correlations in three-particle quantum systems with harmonic interactions

SJC Salazar, HG Laguna, RP Sagar - Physical Review A, 2020 - APS
Interaction information, a measure of higher-order statistical correlations, is examined in
quantum systems consisting of three coupled and uncoupled oscillators, in position and in …

Statistical Correlations of the N-particle Moshinsky Model

HT Peng, YK Ho - Entropy, 2015 - mdpi.com
We study the correlation of the ground state of an N-particle Moshinsky model by computing
the Shannon entropy in both position and momentum spaces. We have derived the …

Pinning of fermionic occupation numbers: General concepts and one spatial dimension

F Tennie, D Ebler, V Vedral, C Schilling - Physical Review A, 2016 - APS
Analytical evidence for the physical relevance of generalized Pauli constraints (GPCs) has
recently been provided in Schilling et al.[Phys. Rev. Lett. 110, 040404 (2013) PRLTAO 0031 …

Concurrent phenomena at the transition region of selected elementary chemical reactions: An information‐theoretical complexity analysis

RO Esquivel, M Molina‐Espíritu… - … Journal of Quantum …, 2012 - Wiley Online Library
In this work, we have investigated in position (r) and momentum (p) spaces the concurrent
phenomena occurring at the vicinity of the transition state (TS)(the so‐called transition …

Control of Correlation Using Confinement in Case of Quantum System

K Kumar, V Prasad - Annalen der Physik, 2023 - Wiley Online Library
This article investigates the behavior of a Moshinsky atom in a 1D harmonic trap. Focus is
given on the theoretical foundations of confinement and its impact on the correlation …

Visualizing spin degrees of freedom in atoms and molecules

BI Davies, RP Rundle, VM Dwyer, JH Samson, T Tilma… - Physical Review A, 2019 - APS
In this work we show how constructing Wigner functions of heterogeneous quantum systems
leads to new capability in the visualization of quantum states of atoms and molecules. This …

Testing one-body density functionals on a solvable model

CL Benavides-Riveros, JC Várilly - The European Physical Journal D, 2012 - Springer
There are several physically motivated density matrix functionals in the literature, built from
the knowledge of the natural orbitals and the occupation numbers of the one-body reduced …