English

Fractal Weyl law behavior in an open, chaotic Hamiltonian system

Quantum Physics 2015-05-14 v1 Chaotic Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.0911.1109,
  title  = {Fractal Weyl law behavior in an open, chaotic Hamiltonian system},
  author = {Jordan A. Ramilowski and S. D. Prado and F. Borondo and David Farrelly},
  journal= {arXiv preprint arXiv:0911.1109},
  year   = {2015}
}

Comments

4 pages, 3 figures. to appear in Phys Rev E