Bohlin-Arnold-Vassiliev's duality and conserved quantities
Mathematical Physics
2008-12-18 v2 High Energy Physics - Theory
math.MP
Abstract
Bohlin-Arnold-Vassiliev's duality transformation establishes a correspondence between motions in different central potentials. It offers a very direct way to construct the dynamical conserved quantities associated to the isotropic harmonic oscillator (Fradkin-Jauch-Hill tensor) and to the Kepler's problem (Laplace-Runge-Lenz vector).
Cite
@article{arxiv.0803.2610,
title = {Bohlin-Arnold-Vassiliev's duality and conserved quantities},
author = {Yves Grandati and Alain Berard and Herve Mohrbach},
journal= {arXiv preprint arXiv:0803.2610},
year = {2008}
}