Eigenvalue correlations in non-Hermitean symplectic random matrices

Details Eigenvalue correlations in non-Hermitean symplectic random matrices Eigenvalue correlations in non-Hermitean symplectic random matrices

2001-09-17

arxiv.org/abs/cond-mat/0109287v2

J. Phys. A: Math. and Gen. 35, 6631 (2002)

Physics

Condensed Matter

Statistical Mechanics

14 pages

Scientific paper

10.1088/0305-4470/35/31/308

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.

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