  In this article the statistical properties of symmetrical random matrices
whose elements are drawn from a q-parametrized non-extensive statistics
power-law distribution are investigated. In the limit as q->1 the well known
Gaussian orthogonal ensemble (GOE) results are recovered. The relevant level
spacing distribution is derived and one obtains a suitably generalized
nonextensive Wigner distribution which depends on the value of the tunable
non-extensivity parameter q. This non-extensive Wigner distribution can be seen
to be a one-parameter level-spacing distribution that allows one to interpolate
between chaotic and nearly integrable regimes.
