Integrable Hamiltonian systems related to the Hilbert--Schmidt ideal
Mathematical Physics
2015-05-18 v1 Dynamical Systems
math.MP
Abstract
By application of the coinduction method as well as Magri method to the ideal of real Hilbert-Schmidt operators we construct the hierarchies of integrable Hamiltonian systems on the Banach Lie-Poisson spaces which consist of these type of operators. We also discuss their algebraic and analytic properties as well as solve them in dimensions N=2,3,4.
Keywords
Cite
@article{arxiv.1004.3955,
title = {Integrable Hamiltonian systems related to the Hilbert--Schmidt ideal},
author = {Anatol Odzijewicz and Alina Dobrogowska},
journal= {arXiv preprint arXiv:1004.3955},
year = {2015}
}
Comments
36 pages