Coarse Grained Liouville Dynamics of piecewise linear discontinuous maps

Details Coarse Grained Liouville Dynamics of piecewise linear discontinuous maps Coarse Grained Liouville Dynamics of piecewise linear discontinuous maps

2007-10-23

arxiv.org/abs/0710.4321v1

J.Phys.A:Math.Theor 41 (2008) 105402

Physics

Quantum Physics

11 pages, 8 figures

Scientific paper

10.1088/1751-8113/41/10/105402

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.

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