Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015] Année : 1999

Universality in quantum parametric correlations

Résumé

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.

Dates et versions

hal-00003970 , version 1 (25-01-2005)

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P. Leboeuf, M. Sieber. Universality in quantum parametric correlations. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 1999, 60, pp.3969-3972. ⟨hal-00003970⟩
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