Eigenvalue correlations in non-Hermitean symplectic random matrices
Statistical Mechanics
2009-11-07 v2 High Energy Physics - Theory
Chaotic Dynamics
Exactly Solvable and Integrable Systems
Abstract
Correlation function of complex eigenvalues of N by N random matrices drawn from non-Hermitean random matrix ensemble of symplectic symmetry is given in terms of a quaternion determinant. Spectral properties of Gaussian ensembles are studied in detail in the regimes of weak and strong non-Hermiticity.
Cite
@article{arxiv.cond-mat/0109287,
title = {Eigenvalue correlations in non-Hermitean symplectic random matrices},
author = {E. Kanzieper},
journal= {arXiv preprint arXiv:cond-mat/0109287},
year = {2009}
}
Comments
14 pages