On the Wegner orbital model

@article{Schenker2016OnTW,
  title={On the Wegner orbital model},
  author={J. Schenker and R. Peled and M. Shamis and S. Sodin},
  journal={arXiv: Mathematical Physics},
  year={2016}
}
The Wegner orbital model is a class of random operators introduced by Wegner to model the motion of a quantum particle with many internal degrees of freedom (orbitals) in a disordered medium. We consider the case when the matrix potential is Gaussian, and prove three results: localisation at strong disorder, a Wegner-type estimate on the mean density of eigenvalues, and a Minami-type estimate on the probability of having multiple eigenvalues in a short interval. The last two results are proved… Expand
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