Alternative Structures and Bihamiltonian Systems
Quantum Physics
2009-11-07 v1
Abstract
In the study of bi-Hamiltonian systems (both classical and quantum) one starts with a given dynamics and looks for all alternative Hamiltonian descriptions it admits.In this paper we start with two compatible Hermitian structures (the quantum analog of two compatible classical Poisson brackets) and look for all the dynamical systems which turn out to be bi-Hamiltonian with respect to them.
Cite
@article{arxiv.quant-ph/0205052,
title = {Alternative Structures and Bihamiltonian Systems},
author = {G. Marmo and G. Morandi and A. Simoni and F. Ventriglia},
journal= {arXiv preprint arXiv:quant-ph/0205052},
year = {2009}
}
Comments
18 pages