Eigenvalue correlations in non-Hermitean symplectic random matrices

被引：45
|
作者：
Kanzieper, E
机构：
[1] Hitachi Cambridge Lab, Cambridge CB3 0HE, England
[2] Weizmann Inst Sci, Dept Condensed Matter Phys, IL-76100 Rehovot, Israel
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 31期
关键词：
D O I：
10.1088/0305-4470/35/31/308
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A correlation function of complex eigenvalues of N x N random matrices drawn from non-Hermitean random matrix ensembles of sym'plectic 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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页码：6631 / 6644
页数：14
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