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arxiv: 0710.4321 · v1 · submitted 2007-10-23 · 🪐 quant-ph · nlin.CD

Coarse Grained Liouville Dynamics of piecewise linear discontinuous maps

classification 🪐 quant-ph nlin.CD
keywords classicaldiscontinuouslinearpiecewisequantumspectrumanalyzecoarse
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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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