37 citations · 190 across the 17 of their papers we have counts for
8 papers · 1 filter
Modified Laplace-Beltrami quantization of natural Hamiltonian systems with quadratic constants of motion
Claudia Maria Chanu, Luca Degiovanni, Giovanni Rastelli
It is natural to investigate if the quantization of an integrable or superintegrable classical Hamiltonian systems is still integrable or superintegrable. We study here this proble…
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…
The Tremblay-Turbiner-Winternitz system as extended Hamiltonian
Claudia Maria Chanu, Luca Degiovanni, Giovanni Rastelli
We generalize the idea of "extension of Hamiltonian systems" -- developed in a series of previous articles -- which allows the explicit construction of Hamiltonian systems with add…
Extensions of Hamiltonian systems dependent on a rational parameter
Claudia M. Chanu, Luca Degiovanni, Giovanni Rastelli
The technique of "extension" allows to build -dimensional Hamiltonian systems with a non-trivial polynomial in the momenta first integral of any given degree starting from a…
Three and four-body systems in one dimension: integrability, superintegrability and discrete symmetries
C. Chanu, L. Degiovanni, G. Rastelli
Families of three-body Hamiltonian systems in one dimension have been recently proved to be maximally superintegrable by interpreting them as one-body systems in the three-dimensio…
First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator
Claudia Chanu, Luca Degiovanni, Giovanni Rastelli
We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians obtained as one-dimensional extensions of nat…