Eigenvalue correlations in non-Hermitean symplectic random matrices

被引：49

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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