Universal statistics of wave functions in chaotic and disordered systems

Details Universal statistics of wave functions in chaotic and disordered systems Universal statistics of wave functions in chaotic and disordered systems

1998-07-02

arxiv.org/abs/chao-dyn/9807006v3

Physics

Condensed Matter

6 Europhys pages, 2 Ps figures, new version to appear in Europhys. Lett

Scientific paper

We study a new statistics of wave functions in several chaotic and disordered systems: the random matrix model, band random matrix model, the Lipkin model, chaotic quantum billiard and the 1D tight-binding model. Both numerical and analytical results show that the distribution function of a generalized Riccati variable, defined as the ratio of components of eigenfunctions on basis states coupled by perturbation, is universal, and has the form of Lorentzian distribution.

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