37 citations · 190 across the 17 of their papers we have counts for
8 papers · 1 filter
Generalizations of a method for constructing first integrals of a class of natural Hamiltonians and some remarks about quantization
Claudia Chanu, Luca Degiovanni, Giovanni Rastelli
In previous papers we determined necessary and sufficient conditions for the existence of a class of natural Hamiltonians with non-trivial first integrals of arbitrarily high degre…
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…