Correlation Widths in Quantum--Chaotic Scattering

Details Correlation Widths in Quantum--Chaotic Scattering Correlation Widths in Quantum--Chaotic Scattering

2010-11-02

arxiv.org/abs/1011.0606v2

Phys.Lett.B697:313-317,2011

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1016/j.physletb.2011.02.009

An important parameter to characterize the scattering matrix S for quantum-chaotic scattering is the width Gamma_{corr} of the S-matrix autocorrelation function. We show that the "Weisskopf estimate" d/(2pi) sum_c T_c (where d is the mean resonance spacing, T_c with 0 <= T_c <= 1 the "transmission coefficient" in channel c and where the sum runs over all channels) provides a very good approximation to Gamma_{corr} even when the number of channels is small. That same conclusion applies also to the cross-section correlation function.

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