XXVII Workshop on Geometric Methods in Physics 29.06-05.07.2008

Ruben Flores-Espinoza

Monodromy factorization for Lie systems and reconstruction phases.

Using a variational formula, we give a factorization of the monodromy element of a periodic Lie system on a Lie group and we define the geometric and dynamical phases for such systems. We give an intrinsec decomposition for reconstruction phases for systems with symmetry and applications rigid body dynamics.