Symmetries and integrals of motion of a superintegrable deformed oscillator
Exactly Solvable and Integrable Systems
2021-03-23 v4 Mathematical Physics
math.MP
Abstract
The symmetry structure of twodimensional nonlinear isotropic oscillator, introduced in Physica D237 (2008) 505, is discussed. It is shown that it possesses three independent integrals of motion which can be chosen in such a way that they span SU(2), E(2) or SU(1,1) algebras, depending on the value of total energy. They generate the infinitesimal canonical symmetry transformations; integrability of the latter is analyzed. The results are then generalized to the case of arbitrary number of degrees of freedom.
Keywords
Cite
@article{arxiv.2002.03652,
title = {Symmetries and integrals of motion of a superintegrable deformed oscillator},
author = {Joanna Gonera and Artur Jasinski and Piotr Kosinski},
journal= {arXiv preprint arXiv:2002.03652},
year = {2021}
}
Comments
20 pages, no figures; version which appeared in Annals of Physics (except two sentences of explanation added here)