The absolute continuity of the integrated density of states for magnetic Schrodinger operators with certain unbounded random potentials

The object of the present study is the integrated density of states of a qu antum particle in multi-dimensional Euclidean space which is characterized by a Schrodinger operator with magnetic field and a random potential which may be unbounded from above and below. In case that the magnetic field is c onstant and the random potential is ergodic and admits a so-called one-para meter decomposition, we prove the absolute continuity of the integrated den sity of states and provide explicit upper bounds on its derivative, the den sity of states. This local Lipschitz continuity of the integrated density o f states is derived by establishing a Wegner estimate for finite-volume Sch rodinger operators which holds for rather general magnetic fields and diffe rent boundary conditions. Examples of random potentials to which the result s apply are certain alloy-type and Gaussian random potentials. Besides we s how a diamagnetic inequality for Schrodinger operators with Neumann boundar y conditions.