Universal statistics of wave functions in chaotic and disordered systems

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

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Chaotic Dynamics, Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/15626

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/chao-dyn/9807006
 http://arxiv.org/abs/chao-dyn/9807006

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arXiv