Phase Splitting for Periodic Lie Systems
Mathematical Physics
2010-05-04 v2 math.MP
Abstract
In the context of the Floquet theory, using a variation of parameter argument, we show that the logarithm of the monodromy of a real periodic Lie system with appropriate properties admits a splitting into two parts, called dynamic and geometric phases. The dynamic phase is intrinsic and linked to the Hamiltonian of a periodic linear Euler system on the co-algebra. The geometric phase is represented as a surface integral of the symplectic form of a co-adjoint orbit.
Cite
@article{arxiv.0910.2575,
title = {Phase Splitting for Periodic Lie Systems},
author = {R. Flores-Espinoza and Javier de Lucas and Yurii Vorobjev},
journal= {arXiv preprint arXiv:0910.2575},
year = {2010}
}
Comments
(v1) 15 pages. (v2) 16 pages. Some typos corrected. References and further comments added. Final version to appear in J. Phys. A.