Systematic Analytical Approach to Correlation Functions of Resonances in Quantum Chaotic Scattering

Preprint

18 May 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9903043

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 a random matrix approach and calculating explicitly all n-point correlation functions in the complex plane. As a by-product, we establish the Ginibre-like statistics of resonances for many open channels. Our method is a combination of Itzykson-Zuber integration and a variant of nonlinear $\sigma-$model and can be applied when the use of orthogonal polynomials is problematic.

Keywords

CHAOTIC SCATTERING
CORRELATION FUNCTIONS
ITZYKSON ZUBER
OPEN CHANNELS
ORTHOGONAL POLYNOMIALS
QUANTUM CHAOTIC
RESONANCES
SCATTERING
STATISTICS
SYSTEMATIC ANALYTICAL

All Related Versions

Version 1, 1999-03-02, ArXiv
Version 2, 1999-05-18, ArXiv
Published version: Physical Review Letters, 83 (1), 65.

This publication has 0 references indexed in Scilit: