6 papers
Spectral properties of dynamical localization for Schrödinger operators
François Germinet, Amal Taarabt
We investigate the equivalence between dynamical localization and localization properties of eigenfunctions of Schrödinger Hamiltonians. We introduce three classes of equivalent pr…
Delocalization for Random Landau Hamiltonians with Unbounded Random Variables
François Germinet, Abel Klein, Benoît Mandy
In this note we prove the existence of a localization/delocalization transition for Landau Hamiltonians randomly perturbed by an electric potential with unbounded amplitude. In par…
Poisson Statistics for Eigenvalues of Continuum Random Schrödinger Operators
Jean-Michel Combes, François Germinet, Abel Klein
We show absence of energy levels repulsion for the eigenvalues of random Schrödinger operators in the continuum. We prove that, in the localization region at the bottom of the spec…
Localization for a continuum Cantor-Anderson Hamiltonian
François Germinet, Abel Klein
We prove localization at the bottom of the spectrum for a random Schrödinger operator in the continuum with a single-site potential probability distribution supported by a Cantor s…
Localization at low energies for attractive Poisson random Schrödinger operators
François Germinet, Peter D. Hislop, Abel Klein
We prove exponential and dynamical localization at low energies for the Schrödinger operator with an attractive Poisson random potential in any dimension. We also conclude that the…
Localization for Schrödinger operators with Poisson random potential
François Germinet, Peter D. Hislop, Abel Klein
We prove exponential and dynamical localization for the Schrödinger operator with a nonnegative Poisson random potential at the bottom of the spectrum in any dimension. We also con…