93 citations · 2.1k across the 117 of their papers we have counts for
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Non-coboundary Poisson-Lie structures on the book group
Angel Ballesteros, Alfonso Blasco, Fabio Musso
All possible Poisson-Lie (PL) structures on the 3D real Lie group generated by a dilation and two commuting translations are obtained. Its classification is fully performed by rela…
Integrable deformations of Lotka-Volterra systems
Angel Ballesteros, Alfonso Blasco, Fabio Musso
The Hamiltonian structure of a class of three-dimensional (3D) Lotka-Volterra (LV) equations is revisited from a novel point of view by showing that the quadratic Poisson structure…
Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegra…
Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
The full spectrum and eigenfunctions of the quantum version of a nonlinear oscillator defined on an N-dimensional space with nonconstant curvature are rigorously found. Since the u…