Action-angle variables and novel superintegrable systems |
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Authors: | T Hakobyan O Lechtenfeld A Nersessian A Saghatelian V Yeghikyan |
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Institution: | 1. Yerevan State University, 1 Alex Manoogian St., 0025, Yerevan, Armenia 2. Leibniz Universitat Hannover, Appelstr. 2, D-30167, Hannover, Germany 3. INFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, 00044, Frascati, Italy
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Abstract: | 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. |
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