• DOI:10.1209/EPL/I2000-00270-X
• Corpus ID: 14355798

Universal statistics of wave functions in chaotic and disordered systems

@article{Hu1998UniversalSO,
  title={Universal statistics of wave functions in chaotic and disordered systems},
  author={Bambi Hu and Baowen Li and Wenguo Wang},
  journal={EPL},
  year={1998},
  volume={50},
  pages={300-306}
}

• Bambi Hu, Baowen Li, Wenguo Wang
• Published 2 July 1998
• Physics
• EPL

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.