37 citations · 56 across the 6 of their papers we have counts for
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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…
Trihamiltonian extensions of separable systems in the plane
Luca Degiovanni
A method to construct trihamiltonian extensions of a separable system is presented. The procedure is tested for systems, with a natural Hamiltonian, separable in classical sense in…