Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems
Quantum Physics
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We discuss the alternative algebraic structures on the manifold of quantum states arising from alternative Hermitian structures associated with quantum bi-Hamiltonian systems. We also consider the consequences at the level of the Heisenberg picture in terms of deformations of the associative product on the space of observables.
Cite
@article{arxiv.quant-ph/0507233,
title = {Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems},
author = {G. Marmo and G. Scolarici and A. Simoni and F. Ventriglia},
journal= {arXiv preprint arXiv:quant-ph/0507233},
year = {2007}
}
Comments
Accepted for publication in Int. J. Geom. Meth. Mod. Phys