4 citations · 9 across the 12 of their papers we have counts for
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Reducing scattering problems under cone potentials to normal form by global canonical transformations
Gianluca Gorni, Gaetano Zampieri
We introduce a class of Hamiltonian scattering systems which can be reduced to the "normal form" , , by means of a global canonical transformation $ (P,Q)=A(p,q…
Complete Integrability for Hamiltonian Systems with a Cone Potential
Gianluca Gorni, Gaetano Zampieri
It is known that, if a point in is driven by a bounded below potential , whose gradient is always in a closed convex cone which contains no lines, then the velocity has a…
Liouville-Arnold integrability for scattering under cone potentials
Gianluca Gorni, Gaetano Zampieri
The problem of scattering of particles on the line with repulsive interactions, gives rise to some well-known integrable Hamiltonian systems, for example, the nonperiodic Toda latt…
A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
Gianluca Gorni, Gaetano Zampieri
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a la…