activity
20172022
most cited-Deformed quantum and classical mechanics for a system with position-dependent effective mass

34 citations · 62 across the 4 of their papers we have counts for

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math-ph202013 cited

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…

math-ph2019

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…

math-ph2018

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…

math-ph2018

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…

math-ph2018

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…

math-ph2018

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…