A system of coupled oscillators with magnetic terms: symmetries and integrals of motion.
A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog.
Recent applications of the theory of Lie systems in Ermakov systems.
David Hilbert, Hermann Minkowski, la axiomatización de la Física y el Problema número seis.
Superintegrable Potentials and superposition of Higgs Oscillators on the Sphere S²
The spherical version of the two-dimensional central harmonic oscillator, as well as the spherical Kepler (Schrödinger) potential, are superintegrable systems with quadratic constants of motion. They belong to two different spherical "Smorodinski-Winternitz" families of superintegrable potentials. A new superintegrable oscillator have been recently found in S². It represents the spherical version of the nonisotropic 2:1 oscillator and it also belongs to a spherical family of quadratic superintegrable...
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