A superintegrable system is, roughly speaking, a system that allows more integrals of motion
than degrees of freedom. This review is devoted to finite dimensional classical and quantum …

A bstract We provide a systematic account of integrability of the spherical mechanics
associated with the near horizon extremal Myers-Perry black hole in arbitrary dimension for …

The purpose of this work is to present a method based on the factorizations used in one-
dimensional quantum mechanics in order to find the symmetries of quantum and classical …

We present a new exactly solvable (classical and quantum) model that can be interpreted as
the generalization to the two-dimensional sphere and to the hyperbolic space of the two …

We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb
systems, replacing their angular degrees of freedom by those of a generalized rational …

We investigate the Hamilton-Jacobi equation of a probe particle moving on d-dimensional
generalized Lense-Thirring metric. This spacetime is different from the slowly rotating Myers …

The kind of systems on the sphere, whose trajectories are similar to the Lissajous curves, is
studied by means of one example. The symmetries are constructed following a unified and …

The Tremblay--Turbiner--Winternitz system on spherical and hyperbolic spaces:
superintegrability, curvature-dependent formalism Page 1 Journal of Physics A …

A unifying method based on factorization properties is introduced for finding symmetries of
quantum and classical superintegrable systems using the example of the Tremblay …

We construct the Runge-Lenz vector and the symmetry algebra of the rational Calogero-
Coulomb problem using the Dunkl operators. We reveal that they are proper deformations of …