Action-angle variables and novel superintegrable systems
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- Hakobyan, T., Lechtenfeld, O., Nersessian, A. et al. Phys. Part. Nuclei (2012) 43: 577. doi:10.1134/S1063779612050152
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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.