Lobachevsky geometry in TTW and PW systems

Autor:	Hakobyan, Tigran, Nersessian, Armen, Shmavonyan, Hovhannes
Rok vydání:	2015
Předmět:	Mathematical Physics High Energy Physics - Theory
Zdroj:	Phys.Atom.Nucl. 80(3) 598-604, 2017
Druh dokumentu:	Working Paper
DOI:	10.1134/S1063778817030085
Popis:	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. Comment: 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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.07489 Zobrazit plný text záznamu View this record from Arxiv