Superintegrable Deformations of the Smorodinsky-Winternitz Hamiltonian

Details Superintegrable Deformations of the Smorodinsky-Winternitz Hamiltonian Superintegrable Deformations of the Smorodinsky-Winternitz Hamiltonian

2004-12-20

arxiv.org/abs/math-ph/0412067v1

Physics

Mathematical Physics

17 pages. Published in "Superintegrability in Classical and Quantum Systems", edited by P.Tempesta, P.Winternitz, J.Harnad, W.

Scientific paper

A constructive procedure to obtain superintegrable deformations of the classical Smorodinsky-Winternitz Hamiltonian by using quantum deformations of its underlying Poisson sl(2) coalgebra symmetry is introduced. Through this example, the general connection between coalgebra symmetry and quasi-maximal superintegrability is analysed. The notion of comodule algebra symmetry is also shown to be applicable in order to construct new integrable deformations of certain Smorodinsky-Winternitz systems.

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