MICZ-Kepler = dynamics on the cone over the rotation group
Mathematical Physics
2015-06-15 v1 Dynamical Systems
math.MP
Abstract
We show that the n-dimensional MICZ-Kepler system arises from symplectic reduction of a simple mechanical system on the cone over the rotation group SO(n). As a corollary we derive an elementary formula for its general solution. The punch-line of our computation is that the additional MICZ-Kepler type potential term is the rotational part of the cone's kinetic energy.
Cite
@article{arxiv.1305.1063,
title = {MICZ-Kepler = dynamics on the cone over the rotation group},
author = {Richard Montgomery},
journal= {arXiv preprint arXiv:1305.1063},
year = {2015}
}
Comments
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