34 citations · 224 across the 28 of their papers we have counts for
29 papers
Inverse characterization and non-uniqueness of the Gaussian configurational partition function
Ignacio S. Gomez
Given a configurational partition function, in this work we investigate the inverse problem of reconstructing the one-dimensional potential. For the case of the Gaussian partition…
Finite nonlinear mathematical structures induced by the Tsallis -sum
Ignacio S. Gomez
The Tsallis -sum is one of the fundamental nonlinear composition laws of nonextensive statistical mechanics. Although it has been extensively investigated in continuous settings…
Exact solution and coherent states of an asymmetric oscillator with position-dependent mass
Bruno G. da Costa, Ignacio S. Gomez, Biswanath Rath
We revisit the problem of the deformed oscillator with position-dependent mass [da Costa et al., J. Math. Phys. {\bf 62}, 092101 (2021)] in the classical and quantum formalisms, by…
Studies of transport coefficients in charged AdS black holes on -deformed space
Fabiano F. Santos, Bruno G. da Costa, Ignacio S. Gomez
In this work, we study the effect of -deformed space on the thermodynamic quantities, this are find through the holographic renormalization that provide the free energy, which i…
Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass
Bruno G. da Costa, Genilson A. C. da Silva, Ignacio S. Gomez
We study the classical and quantum oscillator in the context of a non-additive (deformed) displacement operator, associated with a position-dependent effective mass, by means of th…
-Deformed quantum and classical mechanics for a system with position-dependent effective mass
Bruno G. da Costa, Ignacio S. Gomez, Mariela Portesi
We present the quantum and classical mechanics formalisms for a particle with position-dependent mass in the context of a deformed algebraic structure (named -algebra), motivate…
Splitting frequency of the (2+1)-dimensional Duffin-Kemmer-Petiau oscillator in an external magnetic field
Ignacio S. Gomez, Esdras S. Santos, Olavo Abla
We revisit the (2+1)-dimensional DKP oscillator in an external magnetic field by means of 4x4 and 6x6 representations of the DKP field, thus obtaining several cases studied in the…
Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
Ignacio S. Gomez, Esdras S. Santos, Olavo Abla
In this work we explore a generalization of the Dirac and Klein-Gordon (KG) oscillators, provided with a deformed linear momentum inspired in nonextensive statistics, that gives pl…
Algebraic structures and deformed Schrödinger equations from groups entropies
Ignacio S. Gomez, Ernesto P. Borges
Motivated by the group entropy theory, in this work we generalize the algebra of real numbers (that we called G-algebra), from which we develop an associated G-differential calculu…
Information-theoretic measures for a position-dependent mass system in an infinite potential well
Bruno G. da Costa, Ignacio S. Gomez
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 equation, being…
Majorization and dynamics of continuous distributions
Ignacio S. Gomez, Bruno G. da Costa, M. A. F. dos Santos
In this work we show how the concept of majorization in continuous distributions can be employed to characterize chaotic, diffusive and quantum dynamics. The key point lies in that…
Hermite-Gaussian model for quantum states
Marcelo Losada, Ignacio S. Gomez, Federico Holik
In order to characterize quantum states within the context of information geometry, we propose a generalization of the Gaussian model, which we called the Hermite-Gaussian model. W…
Fisher metric from relative entropy group
Ignacio S. Gomez, Ernesto P. Borges, M. Portesi
In this work we consider the Fisher metric which results from the Hessian of the relative entropy group, that we called Fisher metric group, and we obtain the corresponding ones to…
Deformed Fokker-Planck equation: inhomogeneous medium with a position-dependent mass
Bruno G. da Costa, Ignacio S. Gomez, Ernesto P. Borges
We present the Fokker-Planck equation (FPE) for an inhomogeneous medium with a position-dependent mass particle by making use of the Langevin equation, in the context of a generali…
A generalized Vitali set from nonextensive statistics
Ignacio S. Gomez
We address a generalization of the Vitali set through a deformed translational property that stems from a generalized algebra derived from the nonextensive statistics. The generali…
Bohmian mechanics and Fisher information for -deformed Schrödinger equation
Bruno G. da Costa, Ignacio S. Gomez
We discuss the Bohmian mechanics by means of the deformed Schrödinger equation for position dependent mass, in the context of a -algebra inspired by nonextensive statistics. A d…
On a dynamical approach to some prime number sequences
Lucas Lacasa, Bartolo Luque, Ignacio Gómez +1
In this paper we show how the cross-disciplinary transfer of techniques from Dynamical Systems Theory to Number Theory can be a fruitful avenue for research. We illustrate this ide…
A unified time scale for quantum chaotic regimes
Ignacio S. Gomez, Ernesto P. Borges
We present a generalised time scale for quantum chaos dynamics, motivated by nonextensive statistical mechanics. It recovers, as particular cases, the relaxation (Heisenberg) and t…
Notions of the ergodic hierarchy for curved statistical manifolds
Ignacio S. Gomez
We present an extension of the ergodic, mixing, and Bernoulli levels of the ergodic hierarchy for statistical models on curved manifolds, making use of elements of the information…
An upper bound for the KS-entropy in quantum mixing systems
Ignacio S. Gomez
We present an upper bound for the Kolmogorov-Sinai entropy of quantum systems having a mixing quantum phase space. The method for this estimation is based on the following ingredie…
An estimation of the logarithmic timescale in an ergodic dynamics
Ignacio S. Gomez
An estimation of the logarithmic timescale in quantum systems having an ergodic dynamics in the semiclassical limit of quasiclassical large parameters, is presented. The estimation…
Lyapunov exponents and Hamiltonian poles in a non Hermitian dynamics
Ignacio S. Gomez
By means of expressing volumes in phase space in terms of traces of quantum operators, a relationship between the Hamiltonian poles and the Lyapunov exponents in a non Hermitian qu…
Distinguishability notion based on Wootters statistical distance: application to discrete maps
Ignacio S. Gomez, Mariela Portesi, Pedro W. Lamberti
We study the distinguishability notion given by Wootters for states represented by probability density functions. This presents the particularity that it can also be used for defin…
Ergodic statistical models: entropic dynamics and chaos
Ignacio S. Gomez, Mariela Portesi
We present an extension of the ergodic, mixing and Bernoulli levels of the ergodic hierarchy in dynamical systems, the information geometric ergodic hierarchy (IGEH), making use of…