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We study the interrelations between the classical (Frobenius-Perron) and thequantum (Husimi) propagator for phase-space (quasi-)probability densities in aHamiltonian system displaying a mix of regular and chaotic behavior. We focuson common resonances of these operators which we determine by blurringphase-space resolution. We demonstrate that classical and quantum timeevolution look alike if observed with a resolution much coarser than a Planckcell and explain how this similarity arises for the propagators as well astheir spectra. The indistinguishability of blurred quantum and classicalevolution implies that classical resonances can conveniently be determined fromquantum mechanics and in turn become effective for decay rates of quantumcorrelations.Comment: 10 pages, 3 figure

Classical versus quantum time evolution of (quasi-) probability densities at limited phase-space resolution