Level density for deformations of the Gaussian orthogonal ensemble.
نویسندگان
چکیده
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.
منابع مشابه
International Conference on Squeezed States
The new Theorem on location of maximum of probability density functions of dimensionless second difference of the three adjacent energy levels for N dimensional Gaussian orthogonal ensemble GOE(N), N -dimensional Gaussian unitary ensemble GUE(N), N -dimensional Gaussian symplectic ensemble GSE(N), and Poisson ensemble PE, is formulated: The probability density functions of the dimensionless sec...
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 71 3 Pt 2A شماره
صفحات -
تاریخ انتشار 2005