We show for a large class of random Schrödinger operators Hο
and on \(\)
that dynamical localization holds, i.e.
that, with probability one, for a suitable energy interval I
and for q
a positive real,
Here ψ is a function of sufficiently rapid decrease, \(\)
) is the spectral projector of Hο
corresponding to the interval I
. The result is obtained through the control of the decay of the eigenfunctions of Hο
and covers, in the discrete case, the Anderson tight-binding model with Bernoulli potential (dimension ν = 1) or singular potential (ν > 1), and in the continuous case Anderson as well as random Landau Hamiltonians.