Universal twinkling exponents for spectral fluctuations associated with mixed chaology

@inproceedings{Berry2000UniversalTE,
  title={Universal twinkling exponents for spectral fluctuations associated with mixed chaology},
  author={Michael V. Berry and Jon P. Keating and Henning Schomerus},
  year={2000}
}
For systems that are neither fully integrable nor fully chaotic, bifurcations of periodic orbits give rise to semiclassically emergent singularities in the fluctuating part N fl of the energy–level counting function. The bifurcations dominate the spectral moments M m ( ) = 〈 ( N fl ) 2 m 〉 in the limit ħ → 0. We argue that M m ( ħ ) ∽ const./ ħ vm , and calculate the twinkling exponents v m as the result of a competition between bifurcations with different codimensions and repetition numbers. 

Tables from this paper.

Similar Papers

Loading similar papers…