37 citations · 66 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
Fixed Energy R-separation for Schroedinger equation
C. Chanu, G. Rastelli
We extend the classical approach of the R-separation of the Laplace equation (as a null eigenvalue problem) to the general steady state Schroedinger equation including cases where…