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 …

Maximum entropy and approximate descriptions of pure states

AR Plastino, A Plastino - Physics Letters A, 1993 - Elsevier
Maximum entropy and approximate descriptions of pure states Page 1 Physics Letters A 181
(1993) 446—449 North-Holland PHYSICS LETTERS A Maximum entropy and approximate …

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 …

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 …

Geometric probability theory and Jaynes's methodology

F Holik, C Massri, A Plastino - International Journal of Geometric …, 2016 - World Scientific
We provide a generalization of the approach to geometric probability advanced by the great
mathematician Gian Carlo Rota, in order to apply it to generalized probabilistic physical …

Statistical treatment of autonomous systems with divergencelless flows

AR Plastino, A Plastino - Physica A: Statistical Mechanics and its …, 1996 - Elsevier
Statistical Mechanics (SM) has been quite successful in providing one with exact, or at least
approximate, descriptions of the time-dependent solutions of the Liouville (or of the von …

Solutions for the MaxEnt problem with symmetry constraints

M Losada, F Holik, C Massri, A Plastino - Quantum Information Processing, 2019 - Springer
In this paper, we deal with the situation in which the unknown state of a quantum system has
to be estimated under the assumption that it is prepared obeying a known set of symmetries …

Quantum inference methods and hypervirial theorems

AR Plastino, M Casas, A Plastino, A Puente - Physical Review A, 1995 - APS
Arguments of the Jaynes maximum entropy sort have proved to be surprisingly successful in
providing one with approximate descriptions of pure states in a variety of scenarios, entirely …

Signatures of quantum phase transitions from the boundary of the numerical range

IM Spitkovsky, S Weis - Journal of Mathematical Physics, 2018 - pubs.aip.org
We analyze the smoothness of the ground state energy of a one-parameter Hamiltonian by
studying the differential geometry of the numerical range and continuity of the maximum …

Free energy behavior in exactly solvable many-fermion interacting systems

A Plastino, D Monteoliva, AR Plastino - Modern Physics Letters B, 2023 - World Scientific
The objective of this work is to show that simple modifications in the form of the fermion–
fermion interacting potential generate widely different thermodynamic behaviors, with …