Symplectic Structure of the Real Ginibre Ensemble
نویسنده
چکیده
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-and2-point correlations are discussed in more detail. Scaling forms for large dimension N are derived. PACS numbers: 0250.-r, 0540.-a, 75.10.Nr Submitted to: J. Phys. A: Math. Gen.
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تاریخ انتشار 2007