Fractal Weyl law behavior in an open Hamiltonian system

Jordan A. Ramilowski, S. D. Prado, F. Borondo, and David Farrelly

Accepted Monday Oct 19, 2009

We numerically show fractal Weyl law behavior in an open Hamiltonian system that is described by a smooth potential and which supports numerous above-barrier resonances. This behavior holds even relatively far away from the classical limit. The complex resonance wave functions are found to be localized on the fractal classical repeller.