37 citations · 196 across the 30 of their papers we have counts for
30 papers
Superintegrability and geometry: a review of the extended Hamiltonian approach
Claudia Maria Chanu, Giovanni Rastelli
We review the results of several of our papers about the procedure of extension of Hamiltonians, allowing the construction of families of superintegrable systems with non-trivial p…
On the degeneracy of the energy levels of Schroedinger and Klein-Gordon equations on Riemannian coverings
Claudia Maria Chanu, Giovanni Rastelli
We study the degeneracy of the energy levels of the Schroedinger equation with Kepler-Coulomb potential and of the Klein-Gordon equation on Riemannian coverings of the Euclidean sp…
Relative Equilibria for Scaling Symmetries and Central Configurations
Giovanni Rastelli, Manuele Santoprete
In this paper, we explore scaling symmetries within the framework of symplectic geometry. We focus on the action of the multiplicative group on exact symplec…
Separation of Variables and Superintegrability on Riemannian Coverings
Claudia Maria Chanu, Giovanni Rastelli
We introduce Stäckel separable coordinates on the covering manifolds , where is a rational parameter, of certain constant-curvature Riemannian manifolds with the structure…
Extensions of non-natural Hamiltonians
Claudia Maria Chanu, Giovanni Rastelli
The concept of extended Hamiltonian systems allows the geometrical interpretation of several integrable and superintegrable systems with polynomial first integrals of degree depend…
On the Extended-Hamiltonian Structure of Certain Superintegrable Systems on Constant-Curvature Riemannian and Pseudo-Riemannian Surfaces
Claudia Maria Chanu, Giovanni Rastelli
We prove the integrability and superintegrability of a family of natural Hamiltonians which includes and generalises those studied in some literature, originally defined on the 2D…