Semiclassical limit of universal parametric density correlations

Details Semiclassical limit of universal parametric density correlations Semiclassical limit of universal parametric density correlations

1997-11-17

arxiv.org/abs/chao-dyn/9711017v2

Nonlinear Sciences

Chaotic Dynamics

19 pages, RevTeX 3.0, minor changes in the text

Scientific paper

10.1103/PhysRevE.58.5693

Reviewing the semiclassical theory for the parametric level density fluctuations, we show that for large parametric changes the density correlation function, after rescaling, becomes universal and coincides with the leading asymptotic term obtained from Random Matrix Theory. The advantage of the semiclassical approach is to provide a simple recipe for the calculation of the non-universal scaling parameter from elements of the underlying classical dynamics specific to the system. We discuss recent improvements of the theory, which introduce a requantization of the smoothed level density.

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