activity
19932023
most citedQuantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability

73 citations · 2.5k across the 138 of their papers we have counts for

collaborators

138 papers

hep-th2023★ 1 cited

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…

math-ph2023★ 10 cited

Exact solutions and superposition rules for Hamiltonian systems generalizing time-dependent SIS epidemic models with stochastic fluctuations

Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. Herranz

Using the theory of Lie-Hamilton systems, formal generalized time-dependent Hamiltonian systems that enlarge a recently proposed SIS epidemic model with a variable infection rate a…

math-ph2022★ 1 cited

A general approach to noncommutative spaces from Poisson homogeneous spaces: Applications to (A)dS and Poincaré

Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz

In this contribution we present a general procedure that allows the construction of noncommutative spaces with quantum group invariance as the quantization of their associated cois…

hep-th2022★ 4 cited

-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…

hep-th2022★ 9 cited

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…

math-ph2022★ 5 cited

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 …