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arxiv: chao-dyn/9707008 · v1 · submitted 1997-07-04 · chao-dyn · nlin.CD

Mean dynamical entropy of quantum system tends to infinity in the semiclassical limit

classification chao-dyn nlin.CD
keywords quantumdynamicalentropyinfinitylimitmeansemiclassicaltends
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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.

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