52 citations · 270 across the 29 of their papers we have counts for
30 papers
Hamiltonian reduction from particular integrals
R. Azuaje, A. M. Escobar-Ruiz, I. Gutierrez-Sagredo
We develop a geometric reduction mechanism generated by systems of particular integrals, namely, families of functions whose time derivatives close linearly on the family. Their co…
The Fock-Darwin-Darboux system: eigenstates, information entropies and dispersion-like measures
Ignacio Baena-Jimenez, Angel Ballesteros, Ivan Gutierrez-Sagredo
The Fock-Darwin (FD) quantum system describes the motion on the plane of a charged particle under the action of an isotropic oscillator potential together with a perpendicular cons…
Universal -matrices for quantum Poincaré groups: contractions and quantum reference frames
Angel Ballesteros, Diego Fernandez-Silvestre, Ivan Gutierrez-Sagredo
Universal -matrices, or Hopf algebra dual forms, for quantum groups are revisited, and their contraction theory is developed. As a first illustrative example, the (1+1) timelike…
Generalized classical and quantum Zernike Hamiltonians
Francisco J. Herranz, Alfonso Blasco, Rutwig Campoamor-Stursberg +3
A superintegrable generalization of the classical and quantum Zernike systems is reviewed. The corresponding Hamiltonians are endowed with higher-order integrals and can be interpr…
Rényi and Tsallis information entropies for the Darboux III quantum nonlinear oscillator
Ignacio Baena-Jimenez, Angel Ballesteros, Ivan Gutierrez-Sagredo +1
The Darboux III oscillator is an exactly solvable -dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. Its one-dimension…
Mechanical presymplectic structures and Marsden-Weinstein reduction of time-dependent Hamiltonian systems
I. Gutierrez-Sagredo, D. Iglesias Ponte, J. C. Marrero +1
In 1986, Albert proposed a Marsden-Weinstein reduction process for cosymplectic structures. In this paper, we present the limitations of this theory in the application of the reduc…
Integrable deformations of Rikitake systems, Lie bialgebras and bi-Hamiltonian structures
Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
Integrable deformations of a class of Rikitake dynamical systems are constructed by deforming their underlying Lie-Poisson Hamiltonian structures, which are considered linearizatio…
White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
R. Alves Batista, G. Amelino-Camelia, D. Boncioli +101
The unification of quantum mechanics and general relativity has long been elusive. Only recently have empirical predictions of various possible theories of quantum gravity been put…
Noncommutative spacetimes versus noncommutative spaces of geodesics
Francisco J. Herranz, Angel Ballesteros, Giulia Gubitosi +1
The aim of this contribution is twofold. First, we show that when two (or more) different quantum groups share the same noncommutative spacetime, such an 'ambiguity' can be resolve…
-Galilean and -Carrollian noncommutative spaces of worldlines
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
The noncommutative spacetimes associated to the -Poincaré relativistic symmetries and their "non-relativistic" (Galilei) and "ultra-relativistic" (Carroll) limits are indistingu…
Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvature
Angel Ballesteros, Ivan Gutierrez-Sagredo
The so-called Darboux III oscillator is an exactly solvable -dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. This os…
All noncommutative spaces of -Poincaré geodesics
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
Noncommutative spaces of geodesics provide an alternative way of introducing noncommutative relativistic kinematics endowed with quantum group symmetry. In this paper we present ex…
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system
Alfonso Blasco, Ivan Gutierrez-Sagredo, Francisco J. Herranz
We consider the classical momentum- or velocity-dependent two-dimensional Hamiltonian given by where …
The noncommutative space of light-like worldlines
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The noncommutative space of light-like worldlines that is covariant under the light-like (or null-plane) -deformation of the (3+1) Poincaré group is fully constructed as the qua…
Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
A. Addazi, J. Alvarez-Muniz, R. Alves Batista +157
The exploration of the universe has recently entered a new era thanks to the multi-messenger paradigm, characterized by a continuous increase in the quantity and quality of experim…
Fuzzy worldlines with -Poincaré symmetries
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
A novel approach to study the properties of models with quantum-deformed relativistic symmetries relies on a noncommutative space of worldlines rather than the usual noncommutative…
Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The complete classification of classical -matrices generating quantum deformations of the (3+1)-dimensional (A)dS and Poincaré groups such that their Lorentz sector is a quantum…
Cayley-Klein Lie bialgebras: Noncommutative spaces, Drinfel'd doubles and kinematical applications
Ivan Gutierrez-Sagredo, Francisco J. Herranz
The Cayley-Klein (CK) formalism is applied to the real algebra by making use of four graded contraction parameters describing in a unified setting 81 Lie algebras, which…
Hamiltonian structure of compartmental epidemiological models
Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
Any epidemiological compartmental model with constant population is shown to be a Hamiltonian dynamical system in which the total population plays the role of the Hamiltonian funct…
Exact closed-form solution of a modified SIR model
Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
The exact analytical solution in closed form of a modified SIR system where recovered individuals are removed from the population is presented. In this dynamical system the populat…
The -Newtonian and -Carrollian algebras and their noncommutative spacetimes
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
We derive the non-relativistic and ultra-relativistic limits of the -deformed symmetries and corresponding spacetime in (3+1) dimensions, with and without…
Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces
Angel Ballesteros, Ivan Gutierrez-Sagredo, Flavio Mercati
Quantum homogeneous spaces are noncommutative spaces with quantum group covariance. Their semiclassical counterparts are Poisson homogeneous spaces, which are quotient manifolds of…
Quantum groups, non-commutative Lorentzian spacetimes and curved momentum spaces
Ivan Gutierrez-Sagredo, Angel Ballesteros, Giulia Gubitosi +1
The essential features of a quantum group deformation of classical symmetries of General Relativity in the case with non-vanishing cosmological constant are presented. We fully…
The -(A)dS noncommutative spacetime
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The (3+1)-dimensional -(A)dS noncommutative spacetime is explicitly constructed by quantizing its semiclassical counterpart, which is the -(A)dS Poisson homogeneous space. Th…