Fractal Weyl laws for chaotic open systems

Details Fractal Weyl laws for chaotic open systems Fractal Weyl laws for chaotic open systems

2002-08-13

arxiv.org/abs/nlin/0208019v2

Phys. Rev. Lett. 91, 154101 (2003)

Nonlinear Sciences

Chaotic Dynamics

revtex4, 4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.91.154101

We present a result relating the density of quantum resonances for an open
chaotic system to the fractal dimension of the associated classical repeller.
The result is supported by numerical computation of the resonances of the
system of n disks on a plane. The result generalizes the Weyl law for the
density of states of a closed system to chaotic open systems.

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