Lobachevsky geometry in TTW and PW systems
Mathematical Physics
2017-07-04 v2 High Energy Physics - Theory
math.MP
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 proper way, we get an elegant description for the hidden and dynamical symmetries in these systems related with action-angle variables.
Keywords
Cite
@article{arxiv.1512.07489,
title = {Lobachevsky geometry in TTW and PW systems},
author = {Tigran Hakobyan and Armen Nersessian and Hovhannes Shmavonyan},
journal= {arXiv preprint arXiv:1512.07489},
year = {2017}
}
Comments
9 pages, misprint corrected, reference added. To appear in the Proceedings of the IX Symposium on Quantum Theory and Symmetries (QTS-9), July 13-18, 2015, Yerevan