3 papers
math-ph2025
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 symple…
math-ph2024
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…
math-ph2024
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…