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Level density for deformations of the Gaussian orthogonal ensemble

A. C. Bertuola, J. X. de Carvalho, M. S. Hussein, M. P. Pato, A. J. Sargeant

nucl-tharXiv:nucl-th/0410027

Abstract

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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