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

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

1997-07-04

arxiv.org/abs/chao-dyn/9707008v1

Phys. Rev. Lett. 80 1998 1880

Nonlinear Sciences

Chaotic Dynamics

12 Latex pages including 2 figures in .ps files

Scientific paper

10.1103/PhysRevLett.80.1880

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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