1 citations · 2 across the 7 of their papers we have counts for
7 papers
-entropic statistical paradigm for relativistic corrections to the Heisenberg principle
Giuseppe Gaetano Luciano, Jaume Gin\' e, Daniel Chemisana
The Heisenberg position-momentum uncertainty relation is a cornerstone of quantum mechanics. However, its standard formulation is not fully consistent with special relativity. Whil…
Metrisable oscillators and (super)integrable two-dimensional metrics
Jaume Giné, Dmitry Sinelshchikov
We consider a family of nonlinear oscillators, which is the autonomous case of the two-dimensional projective connection. We construct several classes of these oscillators that are…
A new approach to the Poincaré center problem
Isaac A. García, Jaume Giné
We address the classical (degenerate or non-degenerate) center problem posed by Poincaré in the 19th century for monodromic singularities of analytic families of planar vector fiel…
Monodromic singularities of Brunella-Miari vector fields with two edges in the Newton diagram
Isaac A. García, Jaume Giné, Víctor Mañosa
This work focuses on the study of monodromic singularities in planar analytic families of vector fields whose Newton diagram consists of exactly two edges. We begin by analyzing th…
Principal Bautin ideal of monodromic singularities with inverse integrating factors
Isaac A. García, Jaume Giné
We analyze the structure of the Poincaré map associated to a monodromic singularity of an analytic family of planar vector fields. We work under two assumptions. The first one…
Characterization of centers by its complex separatrices
Isaac A. García, Jaume Giné
In this work we deal with analytic families of real planar vector fields having a monodromic singularity at the origin for any and depe…
On the geometric and analytical properties of the anharmonic oscillator
Jaume Giné, Dmitry Sinelshchikov
Here we consider the anharmonic oscillator that is a dynamical system given by . We demonstrate that to this equation corresponds a new example of a superintegrabl…