Random matrix theory for mixed regular-chaotic dynamics in the super-extensive regime

@article{ElHady2011RandomMT,
  title={Random matrix theory for mixed regular-chaotic dynamics in the super-extensive regime},
  author={A. Abd El-Hady and Adel Y. Abul-Magd},
  journal={arXiv: Mathematical Physics},
  year={2011}
}
We apply Tsallis's q-indexed nonextensive entropy to formulate a random matrix theory (RMT), which may be suitable for systems with mixed regular-chaotic dynamics. We consider the super-extensive regime of q < 1. We obtain analytical expressions for the level-spacing distributions, which are strictly valid for 2 \times 2 random-matrix ensembles, as usually done in the standard RMT. We compare the results with spacing distributions, numerically calculated for random matrix ensembles describing a… 
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