descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 1999Embargo end date: 01 Jan 1999 English Publisher:American Physical Society (APS)Journal:Physical Review E, volume 60, pages 3,969-3,972 (issn: 1063-651X, eissn: 1095-3787,

Authors: Leboeuf, P; Sieber, MMA;

doi: 10.1103/physreve.60.3969 , 10.48550/arxiv.cond-mat/9905015

pmid: 11970232

arXiv: http://arxiv.org/abs/cond-mat/9905015

handle: 1983/b9b3a2cc-b89c-47f0-8e6a-1f6db194c5e3

Universality in quantum parametric correlations

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Abstract

We investigate the universality of correlation functions of chaotic and disordered quantum systems as an external parameter is varied. A new, general scaling procedure is introduced which makes the theory invariant under reparametrizations. Under certain general conditions we show that this procedure is unique. The approach is illustrated with the particular case of the distribution of eigenvalue curvatures. We also derive a semiclassical formula for the non-universal scaling factor, and give an explicit expression valid for arbitrary deformations of a billiard system.

LaTeX, 10 pages, 2 figures. Revised version, to appear in PRE

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Keywords

[PHYS.COND.CM-GEN] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other], Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics

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