On localization for the Schr\"odinger operator with a Poisson random potential
Germinet, Francois ; Hislop, Peter ; Klein, Abel
arXiv, 0506012 / Harvested from arXiv
Text on arXiv
We prove exponential localization for the Schr\"odinger operator with a Poisson random potential at the bottom of the spectrum in any dimension. We also prove exponential localization in a prescribed interval for all large Poisson densities. In addition, we obtain dynamical localization and finite multiplicity of the eigenvalues.
Publié le : 2005-06-03
Classification:  Mathematical Physics,  82B44 
@article{0506012,
     author = {Germinet, Francois and Hislop, Peter and Klein, Abel},
     title = {On localization for the Schr\"odinger operator with a Poisson random
  potential},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506012}
}

Germinet, Francois; Hislop, Peter; Klein, Abel. On localization for the Schr\"odinger operator with a Poisson random
  potential. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506012/