Invariants of the spherical sector in conformal mechanics
High Energy Physics - Theory
2012-12-06 v1 Mathematical Physics
math.MP
Abstract
A direct relation is established between the constants of motion for conformal mechanics and those for its spherical part. In this way we find the complete set of functionally independent constants of motion for the so-called cuboctahedric Higgs oscillator, which is just the spherical part of the rational A_3 Calogero model (describing four Calogero particles after decoupling their center of mass).
Keywords
Cite
@article{arxiv.1008.2912,
title = {Invariants of the spherical sector in conformal mechanics},
author = {Tigran Hakobyan and Olaf Lechtenfeld and Armen Nersessian and Armen Saghatelian},
journal= {arXiv preprint arXiv:1008.2912},
year = {2012}
}
Comments
11 pages, no figures