Symplectic Structure of the Real Ginibre Ensemble

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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. 1-and-2-point correlations are discussed in more detail. Scaling forms for large dimension $N$ are derived.
Latex, 7 pages

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/130224

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.1671
 http://arxiv.org/abs/0706.1671

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arXiv