Abstract
Formulas are derived for the average level density of deformed, or transition, Gaussian orthogonal random matrix ensembles. After some general considerations about Gaussian ensembles, we derive formulas for the average level density for (i) the transition from the Gaussian orthogonal ensemble (GOE) to the Poisson ensemble and (ii) the transition from the GOE to GOEs.
- Received 6 October 2004
DOI:https://doi.org/10.1103/PhysRevE.71.036117
©2005 American Physical Society