Self-Averaging of Wigner Transforms in Random Media

@article{Bal2003SelfAveragingOW,
  title={Self-Averaging of Wigner Transforms in Random Media},
  author={Guillaume Bal and Tomasz Komorowski and Lenya Ryzhik},
  journal={Communications in Mathematical Physics},
  year={2003},
  volume={242},
  pages={81-135}
}
AbstractWe establish the self-averaging properties of the Wigner transform of a mixture of states in the regime when the correlation length of the random medium is much longer than the wave length but much shorter than the propagation distance. The main ingredients in the proof are the error estimates for the semiclassical approximation of the Wigner transform by the solution of the Liouville equations, and the limit theorem for two-particle motion along the characteristics of the Liouville… 
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