Integrable Hamiltonian systems related to the Hilbert-Schmidt ideal
Abstract
By the application of the coinduction method as well as the Magri method to the ideal of real Hilbert-Schmidt operators we construct the hierarchies of integrable Hamiltonian systems on Banach Lie-Poisson spaces which consist of such types of operators. We also discuss their algebraic and analytic properties and solve them in dimensions, N=2,3,4.
- Publication:
-
Journal of Geometry and Physics
- Pub Date:
- August 2011
- DOI:
- 10.1016/j.geomphys.2011.03.006
- arXiv:
- arXiv:1004.3955
- Bibcode:
- 2011JGP....61.1426O
- Keywords:
-
- Mathematical Physics;
- Mathematics - Dynamical Systems;
- 37K10 (Primary) 37K30;
- (Secondary)
- E-Print:
- 36 pages