37 citations · 66 across the 6 of their papers we have counts for
7 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…
Geometrical Theory of Separation of Variables, a review of recent developments
Giovanni Rastelli
The Separation of Variables theory for the Hamilton-Jacobi equation is 'by definition' related to the use of special kinds of coordinates, for example Jacobi coordinates on the ell…
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…
Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds
Claudia Chanu, Giovanni Rastelli
Given a -dimensional Riemannian manifold of arbitrary signature, we illustrate an algebraic method for constructing the coordinate webs separating the geodesic Hamilton-Jacobi e…
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…