Momentum Map and Action-Angle Variables for Nambu Dynamics
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
Momentum map is a reduction procedure that reduces the dimension of a Hamiltonian system to the lower ones. It is shown that behavior of the action-angle variables under the momentum map generates the new action-angle variables for the reduced system considered as a Nambu structure. The symmetrical top is given as an illustration.
Cite
@article{arxiv.math-ph/0508058,
title = {Momentum Map and Action-Angle Variables for Nambu Dynamics},
author = {A. Tegmen},
journal= {arXiv preprint arXiv:math-ph/0508058},
year = {2015}
}
Comments
LaTEX, 8 pages