Systematic analytical approach to correlation functions of resonances in quantum chaotic scattering

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  • 2 March 1999
Abstract
We solve the problem of resonance statistics in systems with broken time-reversal invariance by deriving the joint probability density of all resonances in the framework of the random matrix approach and calculating explicitly all n-point correlation functions in the complex plane. Our method is a combination of Itzykson-Zuber integration with a variant of nonlinear $\sigma-$model and can be applied whenever the use of orthogonal polynomials is problematic.

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