Symplectic structure of the real Ginibre ensemble
Symplectic structure of the real Ginibre ensemble
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真实 Ginibre 系综的辛结构
DOI：
10.1088/1751-8113/40/29/f03
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
H. Sommers
中科院分区：
文献类型：
--
作者：
H. Sommers
给出了偶数维N为四元数行列式的实Ginibre系综本征值的所有n点密度的简单推导。一个非常简单的辛核支配着实关联和复关联。更详细地讨论了单点和两点关联。给出了大维N的标度形式。
We give a simple derivation of all n-point densities for the eigenvalues of the real Ginibre ensemble with even dimension N as quaternion determinants. A very simple symplectic kernel governs both the real and complex correlations. One- and two-point correlations are discussed in more detail. Scaling forms for large dimension N are derived.