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Mean Dynamical Entropy of Quantum Maps on the Sphere Diverges in the Semiclassical Limit
1998
Physical Review Letters
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We show that the mean dynamical entropy of a quantum map on the sphere is positive and tends logarithmically to infinity in the semiclassical limit. A link between chaotic dynamics of classical systems and the random matrix-like properties of spectra of the corresponding quantum analogues is demonstrated.
doi:10.1103/physrevlett.80.1880
fatcat:j3otjxuunvdifbx2cgdcfmu4ra