Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
We discuss the dynamical quantum systems which turn out to be bi-unitary with respect to the same alternative Hermitian structures in a infinite-dimensional complex Hilbert space. We give a necessary and sufficient condition so that the Hermitian structures are in generic position. Finally the transformations of the bi-unitary group are explicitly obtained.
Cite
@article{arxiv.math-ph/0504065,
title = {Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations},
author = {G. Marmo and G. Scolarici and A. Simoni and F. Ventriglia},
journal= {arXiv preprint arXiv:math-ph/0504065},
year = {2007}
}
Comments
Note di Matematica vol 23, 173 (2004)