Physics of Atomic Nuclei

, Volume 80, Issue 3, pp 598–604 | Cite as

Lobachevsky geometry in TTW and PW systems

Elementary Particles and Fields Theory

Abstract

We review the classical properties of Tremblay–Turbiner–Winternitz and Post–Wintenitz systems and their relation with N-dimensional rational Calogero model with oscillator and Coulomb potentials, paying special attention to their hidden symmetries. Then we show that combining the radial coordinate and momentum in a single complex coordinate in a proper way, we get an elegant description for the hidden and dynamical symmetries in these systems related with action–angle variables.

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Yerevan State UniversityYerevanArmenia
  2. 2.Tomsk Polytechnic UniversityTomskRussia

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