9 citations · 27 across the 5 of their papers we have counts for
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Separation of Variables and Superintegrability on Riemannian Coverings
Claudia Maria Chanu, Giovanni Rastelli
We introduce Stäckel separable coordinates on the covering manifolds , where is a rational parameter, of certain constant-curvature Riemannian manifolds with the structure…
On the Extended-Hamiltonian Structure of Certain Superintegrable Systems on Constant-Curvature Riemannian and Pseudo-Riemannian Surfaces
Claudia Maria Chanu, Giovanni Rastelli
We prove the integrability and superintegrability of a family of natural Hamiltonians which includes and generalises those studied in some literature, originally defined on the 2D…
Block-Separation of Variables: a Form of Partial Separation for Natural Hamiltonians
Claudia Maria Chanu, Giovanni Rastelli
We study twisted products of natural autonomous Hamiltonians , each one depending on a separate set, called here separate -block, of variables. We show that, whe…
Born-Jordan and Weyl Quantizations of the 2D Anisotropic Harmonic Oscillator
Giovanni Rastelli
We apply the Born-Jordan and Weyl quantization formulas for polynomials in canonical coordinates to the constants of motion of some examples of the superintegrable 2D anisotropic h…
Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System
Claudia Maria Chanu, Luca Degiovanni, Giovanni Rastelli
The coupling-constant metamorphosis is applied to modified extended Hamiltonians and sufficient conditions are found in order that the transformed high-degree first integral of the…