Coarse Grained Liouville Dynamics of piecewise linear discontinuous maps
arXiv:0710.4321 · doi:10.1088/1751-8113/41/10/105402
Abstract
We compute the spectrum of the classical and quantum mechanical coarse-grained propagators for a piecewise linear discontinuous map. We analyze the quantum - classical correspondence and the evolution of the spectrum with increasing resolution. Our results are compared to the ones obtained for a mixed system.
11 pages, 8 figures