37 citations · 56 across the 6 of their papers we have counts for
8 papers
Superintegrable three body systems in one dimension and generalizations
Claudia Chanu, Luca Degiovanni, Giovanni Rastelli
Superintegrable Hamiltonian systems describing the interactions among three point masses on a line have been described in [2]. Here, we show examples of how the approach of above c…
Superintegrable 3-body systems on the line
Claudia Chanu, Luca Degiovanni, Giovanni Rastelli
We consider classical three-body interactions on a Euclidean line depending on the reciprocal distance of the particles and admitting four functionally independent quadratic in the…
Complex variables for separation of Hamilton-Jacobi equation on three-dimensional Minkowski space
Luca Degiovanni, Giovanni Rastelli
The real coordinates separating geodesic Hamilton-Jacobi equation on three-dimensional Minkowski space in several cases cannot be defined in the whole space. We show through an exa…
Complex variables for separation of Hamilton-Jacobi equation on real pseudo-Riemannian manifolds
Luca Degiovanni, Giovanni Rastelli
In this paper the geometric theory of separation of variables for time-independent Hamilton-Jacobi equation is extended to include the case of complex eigenvalues of a Killing tens…
A note on the superintegrability of the Toda lattice
Luca Degiovanni
The superintegrability of the non-periodic Toda lattice is explained in the framework of systems written in action-angles coordinates. Moreover, a simpler form of the first integra…
A trihamiltonian extension of the Toda lattice
Chiara Andrà, Luca Degiovanni, Guido Magnano
A new Poisson structure on a subspace of the Kupershmidt algebra is defined. This Poisson structure, together with other two already known, allows to construct a trihamiltonian rec…