Separability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials
Exactly Solvable and Integrable Systems
2007-05-23 v2
Abstract
In this paper, separability of the perturbed two-dimensional isotropic harmonic oscillators with homogeneous polynomial potentials is characterized from their Birkhoff-Gustavson (BG) normalization, one of the conventional methods for non-integrable Hamiltonian systems.
Keywords
Cite
@article{arxiv.nlin/0304009,
title = {Separability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials},
author = {Yoshio Uwano},
journal= {arXiv preprint arXiv:nlin/0304009},
year = {2007}
}
Comments
15pages, submitted to the Proceedings of the Workshop on Superintegrability in Classical and Quantum Systems. A minor correction is made on eq.(3.9)