Action-angle variables and novel superintegrable systems

Research paper by T. Hakobyan, O. Lechtenfeld, A. Nersessian, A. Saghatelian, V. Yeghikyan

Indexed on: 16 Sep '12Published on: 16 Sep '12Published in: Physics of Particles and Nuclei


In this paper we demonstrate the effectiveness of the action-angle variables in the study of superintegrable systems. As an example, we construct the spherical and pseu-dospherical generalizations of the two-dimensional superintegrable models introduced by Tremblay, Turbiner and Winternitz and by Post and Winternitz.