Superintegrable deformations of the Smorodinsky-Winternitz Hamiltonian Angel Ballesteros
(angelb@ubu.es) Abstract A constructive procedure to get superintegrable deformations of the Smorodinsky-Winternitz (SW) Hamiltonian by using different quantum deformations of its underlying sl(2) coalgebra symmetry is introduced. Moreover, for some specific values of the parameters within the SW potential a new comodule algebra symmetry arises and new integrable deformations can be constructed. The connections between the abovementioned algebraic structures and the superintegrability of the SW system are analysed. |