Integrable Hamiltonian systems with vector potentials
可精确求解与可积系统
2009-11-10 v1
摘要
We investigate integrable 2-dimensional Hamiltonian systems with scalar and vector potentials, admitting second invariants which are linear or quadratic in the momenta. In the case of a linear second invariant, we provide some examples of weakly-integrable systems. In the case of a quadratic second invariant, we recover the classical strongly-integrable systems in Cartesian and polar coordinates and provide some new examples of integrable systems in parabolic and elliptical coordinates.
引用
@article{arxiv.nlin/0405065,
title = {Integrable Hamiltonian systems with vector potentials},
author = {Giuseppe Pucacco and Kjell Rosquist},
journal= {arXiv preprint arXiv:nlin/0405065},
year = {2009}
}
备注
23 pages, Submitted to Journal of Mathematical Physics