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Rigorous results on Schroedinger operators with certain Gaussian random potentials in multi-dimensional continuous space

Quantum Physics 2007-05-23 v1

Abstract

Schroedinger operators with certain Gaussian random potentials in multi-dimensional Euclidean space possess almost surely an absolutely continuous integrated density of states and no absolutely continuous spectrum at sufficiently low energies.

Keywords

Cite

@article{arxiv.quant-ph/9704046,
  title  = {Rigorous results on Schroedinger operators with certain Gaussian random potentials in multi-dimensional continuous space},
  author = {Werner Fischer and Thomas Hupfer and Hajo Leschke and Peter Mueller},
  journal= {arXiv preprint arXiv:quant-ph/9704046},
  year   = {2007}
}

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9 pages