Non-extensive Random Matrix Theory - A Bridge Connecting Chaotic and Regular Dynamics
arXiv:cond-mat/0410010 · doi:10.1016/j.physleta.2004.09.082
Abstract
We consider a possible generalization of the random matrix theory, which involves the maximization of Tsallis' -parametrized entropy. We discuss the dependence of the spacing distribution on using a non-extensive generalization of Wigner's surmises for ensembles belonging to the orthogonal, unitary and symplectic symmetry universal classes.
Accepted for publication in Physics Letters A