Level density for deformations of the Gaussian orthogonal ensemble

Details Level density for deformations of the Gaussian orthogonal ensemble Level density for deformations of the Gaussian orthogonal ensemble

2004-10-06

arxiv.org/abs/nucl-th/0410027v2

Phys.Rev. E71 (2005) 036117

Physics

Nuclear Physics

Nuclear Theory

7 pages revtex4, 5 eps figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.71.036117

Formulas are derived for the average level density of deformed, or
transition, Gaussian orthogonal random matrix ensembles. After some general
considerations about Gaussian ensembles we derive formulas for the average
level density for (i) the transition from the Gaussian orthogonal ensemble
(GOE) to the Poisson ensemble and (ii) the transition from the GOE to $m$ GOEs.

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