Volume 50, Number 3, May I 2000
|Page(s)||300 - 306|
|Published online||01 September 2002|
Universal statistics of wave functions in chaotic and disordered systems
Department of Physics and Centre for Nonlinear Studies Hong
Kong Baptist University - Hong Kong, PRC
2 Department of Physics, University of Houston - Houston TX 77204-506, USA
3 Department of Physics, National University of Singapore - 119620 Singapore
4 Department of Physics, South-east University - Nanjing 210096, PRC
Corresponding author: email@example.com
Accepted: 23 February 2000
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 a Lorentzian distribution.
PACS: 05.45.Mt – Semiclassical chaos (“quantum chaos”) / 71.23.-k – Electronic structure of disordered solids / 72.15.Rn – Localization effects (Anderson or weak localization)
© EDP Sciences, 2000
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