Abstract
Inspired by a work of Hislop and Klopp, we prove precise Wegner estimates for three classes of Schrodinger operators, including Pauli Hamiltonians, with random magnetic fields. The support of the site vector potentials ma y be noncompact (long-range type random perturbation) and, for one class of the operators, the random vector potentials may be unbounded. In particular Gaussian random fields are also treated. Wegner estimates with correct volume dependence are applied to show Holder estimates of the densities of states. We give also upper bounds on the infimum of the spectrum to show the existence of the Anderson l ocalization near the infimum.
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